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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
A
188
B
176
C
175
D
96
Question 5 Explanation: 
Analyzing by options
capture
Clearly we can see that Option B is the answer.
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