R. S. Aggarwal Solutions for Chapter: Boats and Streams, Exercise 1: EXERCISE 19A

A boat covers a distance of $30 \mathrm{km}$ in $2\frac{1}{2}\mathrm{hrs}$, running downstream. While returning, it covers the same distance in $3\frac{3}{4}\mathrm{hrs}$. What is the speed of the boat in still water?

A boat can row $1 \mathrm{km}$ with stream in $10$ minutes and $1 \mathrm{km}$ against the stream in $20$ minutes. What is the speed of the boat in still water?

A swimmer can swim at $5 \mathrm{km}/\mathrm{hr}$ in still water. When the river flows at $1 \mathrm{km}/\mathrm{hr}$, then he takes $75$ minutes to go to a certain point and then coming back to the starting point. How far is this place?

A swimmer can swim at $5 \mathrm{km}/\mathrm{hr}$ in still water. When the river flows at $1 \mathrm{km}/\mathrm{hr}$, then he takes $75$ minutes to go to a certain point and then coming back to the starting point. How far is this place?

A boat covers a certain distance against the stream in $8\mathrm{hrs} 48 \min$. and it covers the same distance along the stream in $4$ hours. What is the ratio of its speed in still water and the speed of the stream?

A man can row $7\frac{1}{2} \mathrm{km}$ an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The rate of the stream is______.

A steamer goes downstream and covers the distance between two ports in $4 \mathrm{hours}$ while it covers the same distance upstream in $5 \mathrm{hours}$ . If the speed of the stream be $2 \mathrm{km}/\mathrm{hr}$, the speed of steamer in still water is_______.

The speed of a boatman in still water is $6 \mathrm{km}/\mathrm{hr}$ and the speed of the stream is $1.5 \mathrm{km}/\mathrm{hr}$. In going from a point $\mathrm{A}$ to a point $\mathrm{B}$ and returning to $\mathrm{A}$, the boatman takes $2 \mathrm{hrs} 40 \min .$ Distance $\mathrm{AB}$ is______.