Arithmetic: Time Speed Distance Test-10

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Arithmetic: Time Speed Distance Test-10

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Question 1

A train passes a 50 metres long platform in 14 seconds and a man standing on the platform in 10 seconds. The speed of the train is:

A	24 km/hr.
B	36 km/hr.
C	40 km/hr.
D	45 km/hr.

Question 1 Explanation:

Let the length of train be L m.
L/10 = (L+50)/14
14L= 10L+500
L= 125 m .
Speed = (25/2) m/s = (25/2) x 18/5= 45 Km/hr.

Question 2

A train passes a man standing on a platform in 8 seconds and also crosses the platform which is 264 metres long in 20 seconds. The length of the train (in metres) is:

A	188
B	176
C	175
D	96

Question 2 Explanation:

Let the length of train be L m.
Acc. to question
(264+L)/20 = L/8
2112+8L=20L
L= 2112/12 = 176 m

Question 3

A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

A	69.5 km/hr.
B	70 km/hr.
C	79 km/hr.
D	79.2 km/hr.

Question 3 Explanation:

Let the length of the train be L m.
L/8 = (264+L)/20
20L = 8L + 2112
L = 176 m.
Speed of train = 176/8 = 22 m/s = 22 X 18/5 = 79.2 Km/hr

Question 4

A person standing on a railway platform noticed that a train took 21 seconds to completely pass through the platform which was 84 m long and it took 9 seconds in passing him. The speed of the train was

A	25.2 km/hr.
B	32.4 km/hr.
C	50.4 km/hr.
D	75.6 km/hr.

Question 4 Explanation:

Let the train’s length be L m.
L/9=(L+84)/21
21 L = 9L +756
12L= 756
L=63 m
Speed = 63 /9 = 7 m/s = 7 x 18/5 = 25.2 Km/hr.

Question 5

A train passes a man standing on a platform in 8 seconds and also crosses the platform which is 264 metres long in 20 seconds. The length (in metres) of the train is