Problems on Trains - Data Intensity 3 Multiple Questions and Answers.
Exercise Questions ::
Problems on Trains
1. What is the speed of the train?
I. The train crosses a signal pole in 18 seconds.
II. The train crosses a platform of equal length in 36 seconds.
III. Length of the train is 330 metres.
A. I and II only B. II and III only C. I and III only D. III and either I or II only
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Answer: Option D
Explanation:
Let the speed of the train be x metres/sec.
Time taken to cross a signal pole =
Length of the train
Speed of the train
Time taken to cross a platform =
(Length of the train + Length of the Platform)
Speed of the train
Length of train = 330 m.
I and III give, 18 =
330
x =
330
m/sec =
55
m/sec.
x
18
3
II and III give, 36 =
2 x 330
x =
660
m/sec =
55
m/sec.
x
36
3
Correct answer is (D).
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Published by:Michael Daani
2. What is the speed of the train?
I. The train crosses a tree in 13 seconds. II. The train crosses a platform of length 250 metres in 27 seconds. III. The train crosses another train running in the same direction in 32 seconds.
A. I and II only B. II and III only C. I and III only D. None of Above
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Answer: Option A
Explanation:
Let the speed of the train be x metres/sec.
Time taken to cross a tree =
Length of the train
Speed of the train
Time taken to cross a platform =
(Length of the train + Length of the Platform)
Speed of the train
I gives, 13 =
l
13x .
x
13x + 250
= 27
x
x =
125
m/sec.
7
Thus I and II give the speed of the train.
The correct answer is (A.)
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Published by:Michael Daani