R. S. Aggarwal Solutions for Chapter: Time and Work, Exercise 1: EXERCISE 15A

Working $7$ hours per day, $\mathrm{A}$ alone can do a piece of work in $6$ days and $\mathrm{B}$ alone can do it in $8$ days. Working $8$ hours per day, how much time both will take to finish the work?

$\mathrm{A}$ and $\mathrm{B},$ working separately can do a piece of work in $20$ days and $30$ days respectively. For some days, they worked together and then $\mathrm{B}$ left the work. If the remaining work was finished by $\mathrm{A}$ in $10$ days, for how many days did $\mathrm{B}$ work?

A man and a boy together worked for $5$ days and were paid $\mathrm{Rs}.800$ as its labour. If the man works thrice as much as a boy in the same time, what are the daily wages of the boy ?

$\mathrm{A}, \mathrm{B}, \mathrm{C}$ can do a piece of work in $11$ days, $20$ days and $55$ days respectively. If $\mathrm{B}$ works with $\mathrm{A}$ on one day and with $\mathrm{C}$ on the other day alternately, then in how many days the work will be finished ?

$\mathrm{A}, \mathrm{B}, \mathrm{C}$ can do a piece of work in $20$ days, $30$ days and $60$ days respectively. If $\mathrm{A}$ works continuously and on every third day $\mathrm{B}$ and $\mathrm{C}$ also work with $\mathrm{A},$ then in how many days, the work will be completed ?

A given amount is the $21$ days wages of $\mathrm{A}$ and $28$ days wages of $\mathrm{B}.$ This amount is the wages for how many days for $\mathrm{A}$ and $\mathrm{B} ?$

If $1$ man or $2$ women or $3$ boys can do a piece of work in $44$ days, $1$ man, $1$ woman and $1$ boy, working together, can do it in

A can complete a piece of work in $10$ days, $\mathrm{B}$ in $15$ days and $\mathrm{C}$ in $20$ days. $\mathrm{A}$ and $\mathrm{C}$ worked together for $2$ days and then $\mathrm{A}$ was replaced by$\mathrm{B}.$ In how many days, altogether was the work completed ?