Arihant Expert Team Solutions for Exercise 1: Most Important Questions

A car travels $25$ km an hour faster than a bus and takes $10$ hours less in a journey of $500$ km. The speed of the car and bus are given respectively by:

Two trains running in opposite directions cross a man standing on the platform in $54$ sec. and $34$ sec. respectively, and they cross each other in $46$ sec. Find the ratio of their speeds.

If the speed of a boat in still water is $8$ km/h and the rate of stream is $4$ km/h, then upstream speed of the boat is:

What time will be taken by a boat to cover a distance of $64$ km along the stream, if speed of boat in still water is $12$ km/h and speed of stream is $4$km/h?

Shantanu can row upstream at $10$ km/h and downstream at $18$km/h. Find the man's rate in still water and the rate of the current.

A boat takes $8$h to row $48$km downstream and $12$h to row the same distance upstream. Find the boat's rate in still water and rate of current.

Kamal can row a certain distance downstream in $12 \mathrm{h}$ and can return the same distance in $18 \mathrm{h}$. If the stream flows at the rate of $6 \mathrm{km}/\mathrm{h},$ then find the speed (km/h) of Kamal in still water.

Rajnish can row$12$ km/h in still water. It takes him twice as long to row up as to row down the river. Find the rate of the stream.