Question

The ratio of speed of two trains which are running in the same direction is 4 : 5.
The train having higher speed crosses the second train in 30 seconds and a pole in 4
seconds respectively. Find the ratio of their lengths.
(a) 1:2
(b) 2:3
(c) 3:5
(d) 4:5
(e) 6:7​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The ratio of their lengths is $1:2$

Step-by-step explanation:

According to the question , the ratio of speed of two trains which are running in the same direction is 4 : 5.The train having higher speed crosses the second train in 30 seconds and a pole in 4 seconds respectively.

We need to find out the ratio of their lengths.

Let the length of the two train is $l_{1}$ and $l_{2}$.

The speed of two train $4x$ and $5x$.

$\frac{l_{1}+l_{2} }{5x-4x} = 30\\ \\or , \frac{l_{1}+l_{2}}{x}=30\\ \\or , l_{1}+l_{2} = 30x\\\\\\\frac{l_{2}}{5x}=4\\ \\or , l_{2}=20x\\\\So , l_{1}=10x\\\\l_{1}:l_{2} = 1:2$

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