Speed, Time and Distance: Relative Speed & Problems on Trains

Q.1.A train crosses a tree in 20 seconds and a man cycling at 5 kmph in the opposite direction in 18 seconds. What is the length of the train?
a) 1/4 of a km
b) 1/3 of a km
c) 3/10 of a km
d) 2/5 of a km
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Q.2. A train travelling at 78 km/hr crosses a girl sitting in a train of length 110 m travelling in the same direction at 42 km/hr in 20 seconds. The length of the faster train is
a) 90 m
b) 110 m
c) 200 m
d) 100 m
Q.3. Two trains are traveling in opposite directions at 90 kmph and 18 kmph. If the length of the faster train is 600 m, find the time taken by the faster train to cross a man standing in the slower train.
a) 20 sec
b) 25 sec
c) 30 sec
d) Data inadequate
Q.4.A train moving with a speed of 40 km/hr takes 2 hours 6 minutes more to cover a certain distance than a train moving at 96 km/hr. What is the distance?
a) 144 km
b) 72 km
c) 36 km
d) 18 km
Q.5.Two trains of lengths 120 m and 50 m are running on parallel tracks at 66 km/hr and 60 km/hr respectively. In what time will they pass each other?
a) 10seconds
b) 25.5 seconds
c) 51 seconds
d) 102 seconds
Q.6.The distance between two stations, Delhi and Amritsar, is 530 km. A train starts at 4 p.m. from Delhi and moves to Amritsar at an average speed of 80 km/hr. Another train starts from Amritsar at 3.20 p.m. and moves towards Delhi at an average speed of 60 km/hr. How far from Delhi will the two meet?
a) 140km
b) 280 km
c) 200 km
d) 180 km
Q7.A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr, find the length of the platform.
a) 240 m
b) 680 m
c) 360 m
d) 720 m
Q8.Two trains of lengths 110 m and 90 m are running on parallel tracks at 45 km/hr and 50 km/hr respectively. In what time will they pass each other?
A. B. C. D.
a) 18seconds
b) 72 seconds
c) 36 seconds
d) 144 seconds
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Q9.A train running at 54 km/hr crosses a telegraph pole in 18 seconds less time than it takes to cross a platform. Find the length of the platform.
a) 30 m
b) 90 m
c) 270 m
d) 810 m
Q10.A train crosses a platform at 54 km/hr in 20 seconds. Another train is 150 m shorter than the former and is running at 36 km/hr. Find the time the second train will take to cross the same platform.
a) 5 sec
b) 10 sec
c) 15 sec
d) 20 sec
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