Abhijit Guha Solutions for Chapter: Trains, Exercise 1: Practice Problems Level 1

A train $120$ metre long, travelling at $45 \mathrm{km}/\mathrm{h}$, overtakes another train travelling in the same direction at $36 \mathrm{km}/\mathrm{h}$ and passes it completely in $80$ seconds. The length of the second train is:

A train A is $180 \mathrm{m}$ long while another train B is $240 \mathrm{m}$ long. A has a speed of $30 \mathrm{km}/\mathrm{h}$ and B's speed is $40 \mathrm{km}/\mathrm{h}$. If the trains move in opposite directions, find when will A pass B completely.

The length of the train and that of a platform are equal. If with a speed of $90 \mathrm{km}/\mathrm{h}$, the train crosses the platform in one minute, then the length of the train is:

A train with a uniform speed passes a platform $129 \mathrm{m}$ long in $19$ seconds and a bridge $173$ metres long in $23$ seconds. The speed of the train in $\mathrm{km}/\mathrm{h}$ is:

A train passes two bridges of lengths $750 \mathrm{m}$ and $350 \mathrm{m}$ in $1$ min $40$ seconds and $1$ minute respectively. The length of the train is:

A moving train crosses a man standing on a platform and a bridge $360 \mathrm{m}$ long in $12 \mathrm{s}$ and $30 \mathrm{s}$, respectively. What will be the time taken by the train to cross a platform $300 \mathrm{m}$ long?

Two stations P and Q are $230 \mathrm{km}$ apart on a straight track. One train starts from P for Q at $8 \mathrm{am}$ at $25 \mathrm{km}/\mathrm{h}$ and another train from Q for P at $10 \mathrm{am}$ at $35 \mathrm{km}/\mathrm{h}$. When will they meet?

Two trains of equal lengths are running on parallel lines in the same direction at $46 \mathrm{km}/\mathrm{h}$ and $36 \mathrm{km}/\mathrm{h}$. The faster train passes the slower train in $36$ seconds. The length of each train is: