Disha Expert Team Solutions for Exercise 1: EXERCISE

Three taps A, B and C can fill a tank in $12$, $15$ and $20$ hours respectively. If A is open all the time and B and C are open for one hour each alternately, then the tank will be full in:

$8$ men and $4$ women together can complete a piece of work in $6$ days. The work done by a man in one day is double the work done by a woman in one day. If $8$ men and$4$ women started working and after $2$days $4$ men left and$4$ new women joined, in how many more days will the work be completed?

A contractor undertakes a project to build a wall in $50$ days. He employs $50$ people for the same. However, after $25$ days he finds that only $40\%$ of the work is completed. How many more men are needed to be employed to complete the work in time?

A and B can finish a work in $10$ days while B and C can do it in $18$ days. A started the work, worked for $5$ days, then B worked for $10$ days and the remaining work was finished by C in 15 days. In how many days could C alone have finished the whole work?

A can do a piece of work in $10$ days, while B alone can do it in $15$ days. They work together for $5$ days and the rest of the work is done by C in $2$days. If they get $\mathrm{Rs}.450$ for the whole work, how should they divide the money?

A contractor undertook to do a piece of work in $9$days. He employed a certain number of labours but $6$ of them were absent from the very first day and the rest could finish the work in only $15$ days. Find the number of men originally employed.

A can do a certain job in $12$ days. B is $60\%$ more efficient than A. How many days B alone take to do the same job?

Pipe A can fill a tank in $5$hours, pipe B in $10$ hours and pipe C in $30$ hours. If all the pipes are open, in how many hours will the tank be filled?