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

A man can row his boat at the rate of $5$ Km/h in still water and at the rate of $3.5$ Km/h against the stream. At what rate can he row down the same stream?

A policeman saw thief at a distance of $200$ m. The policeman and the thief started running at the same time. If the policeman runs at the speed of $4\frac{1}{6}$ m per second and the thief at a speed of $3\frac{1}{3}$ m per second, after what time the policeman will catch the thief?

Kanchan walks from her home at $4 \mathrm{km}$ per hour and reaches her school $5$ minutes late. If she walks at $5 \mathrm{km}$ per hour, she reaches the school $2\frac{1}{2}$ minutes earlier. How far is the school from her home?

A monkey wants to climb up a glazed pole. He climbs $12$ meters in $1$ minute, and then he slips back $3$ meters in the next minute. If the pole is $63$ meters high, how long does he take to climb at 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 $\frac{3}{5}$ of his usual speed kamalkant reaches at his destination late by $30$ minutes. His usual time consumed in reaching to his destination is:

The distance between two stations A and B is $300 km$. A train leaves the station A with a speed of $40 km/hr$. At the same time another train departs from the station B with a speed of $50 km/hr$. 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 Q at $5 km$ per hour. Tarun starts from P at $3$ p.m. and follows Gulshan on bicycle at $10 km$ per hour. By when Tarun will catch Gulshan?