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Arithmetic: Time Speed Distance Test-7

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Question 1
A train is moving at a speed of 132 km/hour. If the length of the train 110 metres, how long will it take to cross a railway platform 165 metres long?
A
5 seconds
B
7.5 seconds
C
10 seconds
D
15 seconds
Question 1 Explanation: 
Speed of the train = 132 km/h
Length of the train = 110 m
When a train crosses a railway platform,
it travels a distance equal to sum of length of platform and its own length.
Total distance traveled = 110 + 165 = 275 m.
Speed of train = 132 Km/hr = 132 x 5/18 m/s.
total time taken  = 275 x 18/(132 x 5)= 15/2 secs.
Question 2
A train takes 18 seconds to pass through a platform 162 m long and 15 seconds to pass through another platform 120 m long. The length of the train (in m) is
A
70
B
80
C
90
D
105
Question 2 Explanation: 
Total time taken to pass first platform= 18 sec.
Length of the first platform = 162 m
Length of the second platform = 120 m
Total time taken to pass second platform= 15 sec.
Let the length of train be l m.
Therefore (162+l)/(120 +l) = 18/15
=162 x 5 +5 l = 6 x 120 +6 l
=l = 810 – 720 = 90 m
Question 3
A train passes tow bridges of lengths 800 m and 400 m in 100 seconds and 60 seconds respectively. The length of the train is
A
80m
B
90m
C
200m
D
150m
Question 3 Explanation: 
Length of first bridge = 800 m
Time taken = 100 seconds
Length of second bridge = 400 m
Time taken = 60 seconds
Let the length of the train is l m.
(800 +l)/(400+l) = 100/60
2400 +3l =2000 +5l
2l = 400
l = 200 m
Question 4
A train, 75 m long, takes 15 seconds to cross a bridge 250 m long. How much time will the train take to cross a platform 185 m long?
A
36 seconds
B
30 seconds
C
24 seconds
D
12 seconds
Question 4 Explanation: 
Length of the train = 75 m
Time taken = 15 sec.
Length of the bridge = 250 m
Total distance traveled by the train = 250+75 = 325 m in 15 secs.
Speed = 325/15 = 65/3 m/s.
Time required to travel 185 m is
(185+75) x 3/65 =260 x 3/65 =20 x 3/5 = 12 secs.
Question 5
A 120 meter long train is running at a speed of 90 km per hour. It will cross a railway platform 230 m long in
A
10 seconds
B
12seconds
C
17 seconds
D
14 seconds
Question 5 Explanation: 
Speed= 90 Km/hr = 90 x 5/18 = 25 m/s.
Total distance to travel is 120 m + 230 m=  350 m.
Time taken = 350 / 25 = 14 secs.
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