R. Gupta Solutions for Chapter: Distance and Time, Exercise 1: EXERCISE

A man can row his boat at the rate of $5 \mathrm{km}/\mathrm{hr}$ in still water, and at the rate of $3.5 \mathrm{km}/\mathrm{hr}$ against a stream. At what rate can he row down the same stream?

A policeman saw a thief at a distance of $200 \mathrm{m}$. The policeman and the thief started running at the same time. If the policeman runs at a speed of $4\frac{1}{6} \mathrm{m}/\mathrm{s}$, and the thief runs at a speed of $3\frac{1}{3} \mathrm{m}/\mathrm{s}$, what is the time taken by the policeman to catch the thief?

Kanchan walks from her home at the speed of $4 \mathrm{km}/\mathrm{hr}$, and reaches her school $5$ minutes late. If she walks at the speed of $5 \mathrm{km}/\mathrm{hr}$, she reaches the school $2\frac{1}{2}$ minutes early. How far is the school from her home?

A monkey wants to climb up a glazed pole. He climbs $12$ metres in one minute, and then he slips back $3$ metres in the next minute. If the pole is $63$ metres high, how long does he take to climb to the top of the pole?

A and B start walking at the same time on a circular path with circumference $35 \mathrm{km}$. If they walk in the same direction at $4 \mathrm{km}/\mathrm{hr}$ and $5 \mathrm{km}/\mathrm{hr}$ respectively, after what time will they meet together?

While walking at $\frac{3}{5}$th his usual speed, Kamalkant reaches at his destination late by $30$ minutes. The usual time consumed by him in reaching his destination is _____.

The distance between two stations A and B is $300 \mathrm{km}$. A train leaves station A at a speed of $40 \mathrm{km}/\mathrm{hr}$. At the same time, another train departs from station B at a speed of $50 \mathrm{km}/\mathrm{hr}$. How much time will these two trains take to cross each other?

Gulshan starts from a place P at $2$ p.m. and walks to another place Q at $5 \mathrm{km}/\mathrm{hr}$. Tarun starts from P at $3$ p.m. and follows Gulshan on a bicycle at $10 \mathrm{km}/\mathrm{hr}$. At what time will Tarun catch Gulshan?