(C) Work done by $A$ in one day $= \frac{1}{20}$.Work done by $B$ in one day $= \frac{1}{30}$.Combined work of $A$ and $B$ in one day $= \frac{1}{20}

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(C) Work done by $A$ in one day $= \frac{1}{20}$.Work done by $B$ in one day $= \frac{1}{30}$.Combined work of $A$ and $B$ in one day $= \frac{1}{20} + \frac{1}{30} = \frac{3+2}{60} = \frac{5}{60} = \frac{1}{12}$.Work done by $A$ and $B$ in $7$ days $= 7 \times \frac{1}{12} = \frac{7}{12}$.Remaining work $= 1 - \frac{7}{12} = \frac{5}{12}$.$C$ finishes the remaining $\frac{5}{12}$ work in $10$ days.Therefore,$C$ will finish the full work in $10 \times \frac{12}{5} = 24$ days.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

Medium

$A$ can do a piece of work in $20$ days and $B$ in $30$ days. They work together for $7$ days and then both leave the work. Then $C$ alone finishes the remaining work in $10$ days. In how many days will $C$ finish the full work?

A
$25$
B
$30$
C
$24$
D
$20$

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Time and Work and Wages

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Time and Work

$A, B$ and $C$ together can finish a piece of work in $4$ days. $A$ alone can do it in $12$ days and $B$ alone in $18$ days. How many days will be taken by $C$ to do it alone?

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Twenty women can do a work in $16$ days. Sixteen men can complete the same work in $15$ days. What is the ratio between the capacity of a man and a woman?

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$A$ can finish a work in $18$ days and $B$ can do the same work in $15$ days. $B$ worked for $10$ days and left the job. In how many days can $A$ alone finish the remaining work?

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$A$ is $4$ times as fast as $B$ and is,therefore,able to complete a work in $45$ $days$ less than $B$. $A$ and $B$,working together,can complete the work in (in $days$)

Medium

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$15$ men take $20$ days to complete a job working $8$ hours a day. The number of hours a day $20$ men should work to complete the same job in $12$ days is:

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$A$ can do a piece of work in $20$ days and $B$ in $30$ days. They work together for $7$ days and then both leave the work. Then $C$ alone finishes the remaining work in $10$ days. In how many days will $C$ finish the full work?

Similar Questions

$A, B$ and $C$ together can finish a piece of work in $4$ days. $A$ alone can do it in $12$ days and $B$ alone in $18$ days. How many days will be taken by $C$ to do it alone?

Twenty women can do a work in $16$ days. Sixteen men can complete the same work in $15$ days. What is the ratio between the capacity of a man and a woman?

$A$ can finish a work in $18$ days and $B$ can do the same work in $15$ days. $B$ worked for $10$ days and left the job. In how many days can $A$ alone finish the remaining work?

$A$ is $4$ times as fast as $B$ and is,therefore,able to complete a work in $45$ $days$ less than $B$. $A$ and $B$,working together,can complete the work in (in $days$)

$15$ men take $20$ days to complete a job working $8$ hours a day. The number of hours a day $20$ men should work to complete the same job in $12$ days is:

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