Question

A toy train crosses 210 and 122 metres long tunnels in 25 and 17 seconds respectively. find the length of the train.

Answer 1

the length of train is 50mtrs

Answer 2

Answer:

Length of the train= 65m

Step-by-step explanation:

Let l_{1}  be the length of the train.

Using formula, Speed=distance/time

Also, the speed of the train is uniform,therefore

$\frac{l_{1}+l_{tunnel 1}}{Time taken for tunnel 1}= \frac{l_{1}+l_{tunnel 2}}{Time taken for tunnel 2}$

$\frac{l_{1+210}}{25}=\frac{l_{1+122}}{17}$

$17l_{1}+3570=25l_{1}+3050$

$17l_{1}-25l_{1}=3050-3570$

$18l_{1} =520$

$l_{1} =65$

Thus, the length of the train is 65 m.