Trains Boats and Streams Practice Test 4 with solutions

Question : 27 of 40

Marks: +1, -0

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. What is the ratio of their speeds?

3 : 4
3 : 2
2 : 3
1 : 3

Validate

Solution:

Let

x_1

and

x_2

m/s be the speed of two trains and their lengths are

l_1

and

l_2

m, then,

l_1

x_1

× 27 =

27 x_1

;

l_2

17 x_2

And also,

{l_1+l_2}/{x_1+x_2}

= 23
⇒

{27x_1+17x_2}/{x_1+x_2}

= 23
⇒

4x_1

6x_2

⇒

x_1/x_2

3/2

∴

x_1 : x_3

= 3 : 2

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