COMPACT Questions (TIME AND DISTANCE)
2) A boy goes to school at 3 km/hr and return at a speed of 2 km/hr. If he takes 5 hours in all. Find the distance from his village to school? 6 km
3) A man travel a certain distance by train at 25 km/hr and walk back at 4 km/hr. The whole journey took 5 hours 48 mins, what distance did he travel by train . 5hr 48mins
4) A man go a certain distance with x km/hr and he comes back with a speed of y km/hr. If he takes t hrs more to come back then go. Find the distance.
5) A man cover a certain distance from house to office, if he travel at 30 km per hour, then he is late by 10 mins, but if he travels at 40 km/hr then he reaches his office his 5 minutes earlier. Find his distance from home to office. 30km
6) Starting from his house one day, a student walks at 2.5 km/hr and reaches his school 6 minute late. Next day he increase his speed by 1 km/hr and reaches the school 6 min earlier. How far is the school from his house. 7/4km
7) A man Covers a distance by 10 km per hour and becomes 15 mins late. But if he travel the same distance with 12 km/hr then he becomes 5 minutes late. Find the distance ? 10km
8) A man covers a certain distance on scooter and he travel 3 km/hr faster, he would have taken 40 minutes less. But if he decrease speed by 2 km per hour then he becomes 40 minutes late. Find the distance. 40 km
9) A man cover a certain distance by his car. Had he travel 6 km per hour faster than he take 4 hours less time. But if he drive 6 km per hour slower then he takes 6 hour more. Find the distance. 720
10) A man Travel a certain distance by his car. If he increase his speed 10 km per hour then he would take one hour less time. But if he further increase his speed 10 km/hr then he takes further 45 minutes lesser time. Find the distance ? 420 km
11) If a man had walk 20 km per hour faster he would have save one hour in the distance of 600 km. Find his usual speed ? 100 km/hr
12) In a flight of 600 km an aircraft slow down due to bad weather, its average speed for the trip reduced by 200 km/hr & the time of flight increased by 30 minutes. Find the original speed ? 600 km/hr
13) If a train with a speed 60 km/hr cross a pole in 30 second. Find the length of the train ? 500m
14) A 100m long train with a speed of 30 km/hr can cross a man in how much time ? 12 secs
15) A train running at a speed of 72 km/hr Crossed a 260m platform in 23 second. Find the length of the train ? 200m
16) A 275m long train crosses a platform of equal length in 33 second. Find the speed of the train ? 60km/hr
17) A train running at a speed of 60 km per hour crosses a platform double of its length in 32.4 second. Find the length of the platform? 360m
18) A train crosses a man with a speed of 72 km/hr in 15 second. Find in how much time it will cross another train which is 50% more long than it if the other train is standing on platform. 75/2 secs
19) A train crosses a tunnel half of its length with a speed of 72km/hr in 1 minute, then find in how much time it will cross another train of double length which is standing on platform with 60% of its speed ? 200 sec
20) 2 trains of same length can cross a pole in 7 second and 9 second respectively. In how much time will they cross each other, If they are coming from opposite direction. 63/8 sec
21) 2 trait can cross a pool in 4 second and 6 second respectively. Find in how much time will they cross each other if they are coming from same direction and if the speed of the train at 7:9 ratio. 41 sec
22) The speed of two train in the ratio 3:4. Both crosses a pole in 3 second while coming from opposite direction. In how much time they will cross each other ? 3 sec
23) A goods train and passenger train are running in same direction with a speed in the ratio 1:2. The driver of goods train observes that the passenger train coming from behind overtake and Crossed his train completely in 60 second. whereas a passenger on passenger train looks that he cross the goods train in 40 secs. Find the ratio of their length. 2:1
24) The ratio of speeds of a goods and passenger train is 7:9 in same direction. If the passenger train crosses the goods train in 60 Seconds while a passenger in the passenger train observes that he crosses the goods train in 35sec. Find the ratio of length of goods train to passenger train? 7:5
25) A train overtakes a man going along the railway track at a speed of 6km/hr in 10 second, If the length of the train is 200m. Find the speed of the train? 78 km/hr
26) A gun is fired from behind a train the driver of train hears the sound 3/2 mins later than guard. Find the length of the train at the speed of the train if the sound train & speed of the sound are 60 km/hr and 1100 m/min. 150m
27) A train can cross 2 men going along the railway track at 4km/hr & 5km/hr in same direction in 10 sec & 12 sec. Find the length of train. 50/3m
28) A train pass two person who are walking in opposite in which the train is moving at 5 m/s and 10m/s in 6 second 5 seconds respectively. Find the length of the train. 150m
29) Two trains of length 100 m and 80 m respectively run on parallel line. If they run in same direction, they cross each other in 18 second. But if they are coming opposite direction they cross each other in 9 second. Find the speed of the first train. 15, 5 km/hr
30) A truck crosses a man moving along the road at 6km/hr. The man could see the truck up to 2 minute. Find the speed of truck, at the time of disappearance the distance of truck to man is 1.2 km ? 42km/hr
31) A carriage driving in a fog passed a man who was walking at the rate of 3 km/hr in same direction. He could see the carriage for 4 min and it was visible to him upto a distance of 100m. What was the speed of the carriage. 4.5 km/hr
32) A train crosses a man going along the railway track at 6km/hr. The man could see the train up to 2 minute and then find the speed of the train if at the time of disappearance the distance between train to man was 1.2 km ? and the length of train is 300m? 51km/hr
33) A man could see 400 m during Fog when he was moving with 4 km/hr, he saw a train coming from behind & disappeared in 3 minutes. If the length of train is 200m, Find the speed of the train ? 24km
34) A car is 120m behind the bus, in how much time it will be 760 m ahead of bus if the speed are 48 km/hr and 30 km/hr ? 176sec
35) A theft is reported at 10 p.m. and police started chasing the thief at 1:00 p.m. Calculate at what time the police will catch the thief, if speed of thief and police are 42km/hr and 49km/hr. 18hrs
36) A boy plans a bomb at a place and starts running at 30m/sec After 56 second the bomb was blast. In how much time the sound of blast will be listen by the boy if the speed of sound is 460 m/s. 4sec
37) A dog chases rabbit. The rabbit is 125 leaps ahead of itself jump from dog. The rabbit can jump 4 times in a time in which the dog can jump three times. The distance covered by the rabbit and dog in one jump Is 1.75 and 2.75. In how many jumps the dog will catch the rabbit the rabbit ? 525 jumps
38) two trains for Delhi leaves Jaipur at 8.30 and 9 a.m and travel at 60km/hr and 75km/hr respectively. How many kilometre away from Jaipur will the two train meet ? 150 km
39) A train travelling 25 km/hr leaves Delhi at 9.00 am, another train travelling 35 km/hr at 2.00pm, in the same direction. How many kilometre from Delhi will they meet together? 975/2 km
40) Two places P & Q are 162 km apart. Two trains starts from P & Q towards each other at same time and meet after 6 hours. speed of one train is 8 km per hour faster than other. Find the speed of both the trains. 19/2 km/hr
41) A, B and C start from Delhi at 10:00 a.m. , 11:00 a.m. and 12 .00 towards Goa and their speed are 3km/hr, 4km/hr and 5 km/hr and after meeting on the way, B send back A to C with a message. At what time C will get the message ? 2.15 pm
42) Two trains starts at same time from Delhi and Jaipur towards each other with a speed of 80km/hr and 95km/hr. When they meet the faster train cover 180km more distance than the other. Find the distance between Delhi and Jaipur. 2100 km
43) Two trains start at same time from the stations towards each other at 20km/hr and 25 km/hr. When the meet the faster train cover 80 km more distance than other. Find the distance. 720km
44) Two stations A and B are 110km apart. One train start from A at 7 a.m. and travel towards B at 20 km per hour. Another train starts from B.at 8:00 a.m. towards A at 25 km per hour. At what time will they meet ? 10.00am
45) The distance between two stations A and B us 450 km. A train starts at 4:00 p.m. with 60 km/hour from A to B. Another train starts from station B at 3.20 p.m. towards A with a speed of 80 km per hour. At what time will the both train meets. 6.50
46) A train starts from Jaipur at 10:00 a.m. and reach Delhi at 3:00 p.m. Another train starts from Delhi at 11:00 a.m. reach Jaipur at 6:00 p.m. Find the meeting time. 1.20 pm
47) A train starts from station A at 7:00 a.m. and reaches station B at 7:00 p.m. Another train starts from station B at a 9 a.m. and reaches station A at 5:00 p.m. Find the time when they meet ? 1.00 pm
48) A train starts from Delhi at 8:00 a.m. reached Agra at 10:00 a.m. Another train start from Agra to 8:00 a.m. and reached Delhi at 11:00 a.m. Find the meeting time ? 9.12 am
49) By walking 6/7 of his usual speed a man is 12 minute late. Find the usual time taken by him to cover that distance. 72 min
50) In covering a certain distance the ratio of speed of A and B 3:4. A takes 30 minutes more than B to reach the destination. Find the time taken by A to reach the destination ? 90 min
51) A person running at 7/11 of its visual speed reached a place in 22 hours. How much time would he save had he run his normal speed ? 8 hrs
52) A train starts from Delhi at 8:00 a.m. After 6 hours there was a breakdown in the train, due to which it travels 2/3 of its normal speed and hence becomes 40 minutes late. If the breakdown would be 200 km further then it becomes 30 minutes late only. Find the distance from Delhi to Agra ? 600km/hr,4400km
53) A man starts from his home to his office with a certain speed but after 1 hour he meets with an accident and resumes his journey after 1 hour and becomes 1 hour 36 minutes late due to reducing his speed to 5/6. If the accident would occurred after 50 km then he will be late by 1 hour 20 minutes. Find the distance from home to office ? 150 km
54) two guns were fired from same place at an interval of 28 minutes. But a man sitting in the train approaching the place hears the second firing 26 minutes after the first. If the speed of the sound is 325m/s, find the speed of the train ? 25 m/s
55) Two guns were fired from same place at an interval of 28 mins. But a man sitting in the train going away from the place hears the second firing 30 minutes after the first . If the speed of train is 20 km per hour. Find the speed of the sound ? 800 km/hr
56) The buses are departed after every 20 minutes, but man going away from the bus depot after every 24 minutes get the buses. Find the speed of buses if the speed of man is 30km/hr. 180km/hr
57) Two places A and B are 300 km part, Mohit starts from city A at 8:24 a.m. and an hour later Rohit starts from city A and after travelling for 1 hour he reaches at City C that Mohit had passed 40 minutes earlier. City C falls on the way from A to B. if they reaches city B at same time, find their speed. 75, 100 km/hr
58) A boy starts from his home at a certain time with a certain speed to pick up his girlfriend from office at 5:00 p.m. One day his girlfriend left the office at 3:00 p.m. and starts walking to home with a speed of 40 km/hr and meet the boy in the way who left his home at his usual time. They reached home 40 minutes earlier than usual time. Find the speed of boy. 200 km/hr
59) 2 places A and B are 60 km/hr apart. 2 men P and Q start from A at same time and meet 1st time at a place 12 km from B and they have to reach at A after immediate return from B, if the speed of slower person is 48 km/hr. Find the difference of their speed ? 24 km/hr
60) Rohit and Mohit starts at same time from A to B, after reaching their destination they turned to their starting point and they meet 1st time at 15 km from B. If the difference between their speed is 60 km per hour, then find the speed of the faster if And B are 60 km apart ? 150 km/hr
61) A train approaches a tunnel AB, inside the tunnel a cat is located at a point i.e., 2/5 the distance AB measure from the entrance. When the train whistles then cat run. If the cat decides to run towards B side the train catches the cat exactly at A. If the cat decides to run towards B side, the train catches the cat exactly at B. Find ratio of speed of train & cat ? 5:1
62) A, B , C travels a distance of 1200km from Delhi to Mumbai B+ C takes a car and A starts with tanga and after certain distance C through B from car. B takes a cycle and C returns to take A and finally they reach Mumbai at same time. If the speed of car is 50 km/hr and of cycle and Tanga is 10 km/hr each. Find the total time of journey. 48 hrs
63) 2 men A and B start from Delhi and Agra at same time towards each other, after meeting on the way they cover their remaining journey in 64/9 hrs and 25/4 hrs respz. Find the slower speed if faster speed is 40 km more than slower ? 600, 640 km/h
64) A distance of 600 km is to be covered in two parts. In 1st Phase 120 km is travelled by train and rest by car and it took total of 8 hours, but if 200 km is covered by train and rest by car it takes 20 mins more. Find the average speed of the car and train ? 80, 60
65) A man takes 6 30 hours in walking to a certain distance and riding back on horse. If he ride both sides on horse he would have saved 2hr 10 minutes. How much time he take on walking both sides. 8.40 hrs
66) Without any stoppage a person travel a certain distance at an average speed of 42 km per hour and with stoppage it travel the same distance with 28 km/hr average speed. Find how many minutes per hour does he stop ? 20 min/hr
67) Excluding stoppage the speed of bus is 54 km per hour including stoppage it is 45km/hr. In how many minutes does the bus stop per hour. 10min/hrs
68) A train covers a distance of 36 km with speed of 12 km per hour, if it stops 12 minutes after every 1 km. Find the total time covered in distance by the train ? 10hrs
69) An Express train travelled at 100 km per hour stopping for 3 minutes after every 75 km and a local train travelled at 50 km/hr stopping for 1 minute after every 25 km. If both train starts together then how many kilometre did the total train travel in the time it took the express train to travel 600 km ? 307.5 km
70) Speed of a steam engine in 24 km/hr without any Wagon. The decrease in speed of engine is directly proportional to the square root of no of wagons attached. If 4 wagons are attached with engine speed becomes 20 km per hour. Find the maximum number of wagons which are attached with engine so that engines can carry. 143
71) The distance between two stations x and y is 650 km. If 2 trains start together at same time from both stations towards each other and meet after 10 hour but if one train is started 4 hour 20 minutes after the first then they meet after 8 hours. Find the speed of trains. 30,35
72) A person travel 120 km by steamer, 460 km by train and 60 km by horse. The total journey took 13 hour 30 minutes. if the rate of the train is 3 times that of horse and 1.5 times that of steamer. Find the speed of train. 60 km/hr
73) A man travels 360 km 4 hours partly by air and partly by train. If he had travelled all the way by air then he would have arrived 2 hours earlier at his distillation and save 4/5 of the time he was in train. Find the distance travelled by air and trian separately? 260,90
74) From two places 60 km apart A and B starts towards each other at same time and meet each other after 6 hours. If A travel 2/3 of his speed and B Travels with double of his speed then they would have met after 5 hours. Find the speed of A. 6 km/hr
75) A man Travel from A to B at 20 km per hour. And come back from B to A at 30 km/hr. Find average speed of the whole journey. 24 km/hr
76) A man travel from A to B at 20 km/hr and he come back from B to A at 30 km/hr. And he again travel from A to B at 40 km/hr. Find the average speed of the whole journey ? 360/13
77) Four cities A, B, C and D are on the corner of a square. and the side of the square is 120km. A man travel from A to B at 10 km per hour. B to C at 20 km per hour. C to D at 30 km/hr and D to A at 40 km/hr. Find the average speed of the whole journey. 96/5 km/hr
78) A man travel from A to B a 39 km distance with a speed of 15 km/hr and he travel from B to C 52 km distance with a speed of 18 km/hr. Find the average speed of the whole journey. 630/38
79) A man travel from A to B at a speed of 29 km/hr in 29 minutes and he travels a distance from B to C with the speed of 39 km per hour in 29 minutes. Find the average speed of whole journey. 34
80) A gives B a start of 5 second in 1000m race. But both finish the race at same time. Find the time taken by A to finish the race. If speed of B is 5m/s. 195sec
81) A is 5/3 times faster than B. A gives 60m starts to B in a race. Find the length of the race if both finish the race at same time. 150m
82) In a 1000m race A gives a start of 100m to B and 150m to C. How much start B can give to C in a race of 1000 m. 500/9
83) A can finish a race in 3 mi, 10 seconds. While B can finish the same race in 3 minutes 20 seconds. By what distance A will defeat B in a race of 1000m. 50m
84) In a 100m race A runs at a speed of 9 km/hr. He gives a start of 10m to B and still defeat him by 10 seconds. Find the speed of B . 9/5 m/s
85) In a 100m race A runs at a speed of 5 km/hr. He gives a start of 8m to B and still defeat him by 8 second. Find the speed of B ? 23/20 m/sec
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