R. Gupta Solutions for Exercise 1: EXERCISE

Ram can do a piece of work in $30$days while Shyam can do it in $40$ days. In how many days, they will finish the work if they do that work together?

If $16$ persons can complete a piece of work in $5$ days, in how many days, $8$ persons would be able to do it?

$X$ and $Y$ together can do a work in $12$ days and $X$ alone can do it in $18$ days. How many days will be taken by $Y$, if he has to do it alone?

$A$ and $B$ can do a piece of work in $8$ days. $B$ and $C$ can do the same piece of work in $12$ days. $A, B$ and $C$ together can do it in $6$ days. How much time $A$ and $C$ will take to finish it?

A man can do a job in $10$ days. His father takes $15$ days and his brother finishes it in $20$days. They all are worked together for two days. The man left the job. His father left the job a day earlier than the completion of the work. The number of days for which, the work was carried out, is:

$A$ and $B$ can do a piece of work in $18$ days, $B$ and $C$ in $24$ days, $A$ and $C$ in $36$ days. What time will they take if they work together?

$X,Y$ and $Z$ can finish a project in $22,33$ and $44$days respectively. If they work jointly, how much time will they take?

A certain number of men can do a work in $60$ days. If $8$ more men are added to the existing staff, then the work can be finished in $10$ days less. How many men are there?