R. Gupta Solutions for Chapter: Time and Work, Exercise 1: Multiple Choice Questions

Mahesh and Umesh can complete a work in $10$ and $15 \mathrm{days}$ respectively. Umesh starts the work and after $5 \mathrm{days}$ Mahesh joins him. In all, the work would be completed in:

Sunil completes a work in $4 \mathrm{days}$ whereas Dinesh completes the work in $6 \mathrm{days}$. Ramesh works $1\frac{1}{2}$ times as fast as Sunil. How many days it will take for the three together to complete the work?

$A$ can complete a work in $6 \mathrm{days}$ and $B$ in $5 \mathrm{days}$. They work together, finish the job and receive $₹220$ as wages. $B\text{'}$s share should be:

$12$ men and $8$ children can finish a piece of work in $9 \mathrm{days}$. If each child takes twice the time taken by a man to finish the work, in how many days will $12$ men can finish the same work?

$A, B$ and $C$ together earn $₹150$ per day while $A$ and $C$ together earn $₹94$ per day and $B$ and $C$ together earn $₹76$ per day. The daily earning of $C$ is:

If $5$ men or $9$ women can finish a piece of work in $19 \mathrm{days}$, $3$ men and $6$ women will do the same work in:

$A$ can do a piece of work in $12 \mathrm{days}$. $B$ is $60\%$ more efficient than $A$. The number of days, taken by $B$ to do the same piece of work, is:

$A$ and $B$ can do a piece of work in $45$ and $40 \mathrm{days}$, respectively. They began the work together, but $A$ leaves after some days and $B$ finished the remaining work in $23 \mathrm{days}$. After how many days did $A$ leave?