AMCAT Previous Years Questions on Time, Speed and Distance

Question 1
A train of length 110 meters is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
A. 10
B. 8
C. 6
D. 4
Correct Op: C
Distance = 110 m Relative speed = 60 + 6 = 66 kmph (Since both the train and the man are in moving in opposite direction) = (66*5/18) m/sec = 55/3 m/sec

Question 2
Two trains of equal length, running in opposite directions, pass a pole in 18 and 12 seconds. The trains will cross each other in
A. 14.4 sec
B. 15.5 sec
C. 18.8 sec
D. 20.2 sec

Correct Op:A
Let the length of the train be L metres Speed of first train = 360018xL360018xL m/hour Speed of secxond train = 360012xL360012xL m/hour When running in opposite directions, relative speed = 200 L + 300 L m/hour Distance to be covered = L + L = 2L metre Time taken = 2L500Lx36002L500Lx3600 sec =14.4 sec

Question 3
A train speed past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
A. 50 m
B. 150 m
C. 200 m

Correct Op: B
(x+100)/25 = x/15 => 15(x + 100) = 25x => 15x + 1500 = 25x => 1500 = 10x => x = 150 m.

Question 4
Length of the train is 170 meters and speed of the train is 63 km/hour. This train can pass a bridge in 30 seconds, then find the length of the bridge.
A. 355 mts
B. 325 mts
C. 365 mts
D. 312 mts

Correct Op: A

Question 5
A man can row 4.5 km/hr in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of the stream.
A. 2 km/hr
B. 2.5 km/hr
C. 1.5 km/hr
D. 1.75 km/hr

Correct Op: C

Question 6
A car travels first half distance between two places with a speed of 40 km/hr and rest of the half distance with a speed of 60 km/hr. The average speed of the car is:
A. 48 km/hr
B. 37 km/hr
C. 44 km/hr
D. 45 km/hr

Correct Op: A

Question 7
A cyclist drove one kilometre, with the wind in his back, in three minutes and drove the same way back, against the wind in four minutes. If we assume that the cyclist always puts constant force on the pedals, how much time would it take him to drive one kilometre without wind?
A. 7/3 min
C. 17/7 min
D. 43/12 min

Correct Op: B

Question 8
A motorboat whose speed is 15 km/hr in still water goes 30km downstream and comes back in four and a half hours. The speed of the stream is:
A. 4.5 km/hr
B. 6 km/hr
C. 7 km/hr
D. 5 km/hr

Correct Op: D

Question 9
A man sitting on a train travelling at the rate of 50 km/hr observes that it takes 9 sec for goods train travelling in the opposite direction to pass him. If the goods train is 187.5m long. Find its speed.
A. 40 km/hr
B. 30 km/hr
C. 24 km/hr
D. 25 km/hr

Correct Op: D

Question 10
A boat covers a distance of 30 km downstream in 2 hours while it takes 6 hours to cover the same distance upstream. What is the speed of the boat in km/hr
A. 5
B. 7.5
C. 10
D. 12

Correct Op: C