R S Aggarwal Solutions for Chapter: Time and Work, Exercise 3: TEST PAPER

$\mathrm{A}$ can finish a piece of work in $12$ hours while $\mathrm{B}$ can finish it in $15$ hours. How long will both take to finish it working together?

$\mathrm{A}$ can do a piece of work in $14$ days and $\mathrm{B}$ is $40\%$ more efficient than $\mathrm{A}$. In how many days can $\mathrm{B}$ finish it?

A pump can fill a cistern in $2$ hours. Due to a leak in the tank, it takes $2\frac{1}{3}$ hours to fill it. The leak can empty the full tank in

$\mathrm{A}$ works twice as fast as $\mathrm{B}$. If both of them can together finish a piece of work in $12$ hours, then $\mathrm{B}$ can do it in

$\mathrm{A}$ can do a work in $16 \mathrm{hours}$ and $\mathrm{B}$ alone can do it in $24 \mathrm{hours}$. If $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ working together can finish it in $8 \mathrm{hours}$. In how many $\mathrm{hours}$, $\mathrm{C}$ alone can finish the work?

A tap can fill a tank in $6 \mathrm{hours}$. The part of the tank filled in $1 \mathrm{hour}$ is _____.

$\mathrm{A}$ and $\mathrm{B}$ working together can finish a piece of work in $6 \mathrm{hours}$ while $\mathrm{A}$ alone can do it in $9$ hours. $\mathrm{B}$ alone can do it in _____ hours.

If $\mathrm{A}\text{'}\mathrm{s}$ one day's work is $\frac{3}{20}$ then $\mathrm{A}$ can finish the whole work in _____ days.