Question

A train passes a station $270m$ long in $32$ seconds and a man standing on the station in 14seconds. Find
(i) the speed of the train in $km/hr$.
(ii) the length of the train.

Answer 1

Let the speed of train is v m/s and length of train is x meter.

$v\times 32=270+x$

$x=14\times v$

$\Rightarrow 18\times v=270$

$v=15m/s$

Speed in km/hr=$15\times \frac{18}{5}=54km/hr$

Length of train=$14\times 15=210m$