Dr Pooranmal and Ashfaq A Khan Solutions for Chapter: Time and Distance, Exercise 2: EXERCISE 10.2

A train, running at a speed of $54 \mathrm{km}/\mathrm{hr}$, passes an electric pole in $11 \mathrm{seconds}$. How long will it take to cross a platform $240 \mathrm{m}$ long?

Two trains $132 \mathrm{metres}$ and $108 \mathrm{metres}$ in length are running towards each other on parallel line, one at the rate of $32 \mathrm{km}/\mathrm{hr}$ and another at the rate of $40 \mathrm{km}/\mathrm{hr}$. In what time will they be clear to each other from the moment they meet?

Two trains of length $150 \mathrm{m}$ and $180 \mathrm{m}$ respectively are running in opposite direction on parallel tracks. If their speeds be $30 \mathrm{km}/\mathrm{hr}$ and $24 \mathrm{km}/\mathrm{hr}$ respectively. In what time will they cross each other?

When two trains were running in the opposite directions at $40 \mathrm{km}/\mathrm{hr}$ and $60 \mathrm{km}/\mathrm{hr}$ respectively, the slower train passed a man sitting in the faster train in $9 \mathrm{seconds}$. Find the length of the slower train?

A train $220 \mathrm{m}$ long travels at a speed of $60 \mathrm{km}/\mathrm{hr}$. A man is running at a speed of $6 \mathrm{km}/\mathrm{hr}$ in the direction opposite to that of the train. In how many seconds, the train will cross the man.

A cyclist 'A' started his journey on a cycle at $8:30 \mathrm{a}.\mathrm{m}.$ at a speed of $8 \mathrm{km}/\mathrm{hr}$. Another cyclist 'B' started from the same point half an hour later but with a speed of $10 \mathrm{km}/\mathrm{hr}$. At what time did B overtake A.

A train $100 \mathrm{m}$ long passes another train coming from opposite direction in $9 \mathrm{seconds}$. If their speeds be $38 \mathrm{km}/\mathrm{hr}$ and $34 \mathrm{km}/\mathrm{hr}$ respectively. Find the length of the other train?

A train $210 \mathrm{m}$ long travelling at $90 \mathrm{km}/\mathrm{hr}$ overtook another train travelling in the same direction $72 \mathrm{km}/\mathrm{hr}$ and passes it completely in $55 \mathrm{seconds}$. What was the length of the second train?