(D) Let the total work be $1$ unit.Part of work done by $A$ and $B$ in $1$ day is $\frac{1}{30}$.Work done by $A$ and $B$ in $20$ days is $\frac{20}{3

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(D) Let the total work be $1$ unit.Part of work done by $A$ and $B$ in $1$ day is $\frac{1}{30}$.Work done by $A$ and $B$ in $20$ days is $\frac{20}{30} = \frac{2}{3}$.Remaining work = $1 - \frac{2}{3} = \frac{1}{3}$.This remaining work is finished by $A$ in $20$ days.Therefore,$A$'s $1$ day work = $\frac{1/3}{20} = \frac{1}{60}$.Thus,$A$ alone can finish the work in $60$ days.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

Difficult

$A$ and $B$ can together finish a work in $30$ days. They worked together for $20$ days and then $B$ left. After another $20$ days,$A$ finished the remaining work. In how many days can $A$ alone finish the job?

A
$40$
B
$50$
C
$54$
D
$60$

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Time and Work and Wages

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Time and Work

$P$ and $Q$ can do a piece of work in $30$ and $40$ days respectively. They began the work together,but $P$ left after some days and $Q$ finished the remaining work in $12$ days. After how many days did $P$ leave?

Medium

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$A$ can do a piece of work in $24$ days,$B$ in $32$ days,and $C$ in $64$ days. All begin to do it together,but $A$ leaves $6$ days before the completion of the work. How many days did the work last?

Medium

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$A$ can finish a work in $24$ days,$B$ in $9$ days,and $C$ in $12$ days. $B$ and $C$ start the work but are forced to leave after $3$ days. The remaining work was done by $A$ in (in days):

Difficult

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Two men can do a piece of work in $x$ days. But $y$ women can do it in $3$ days. Then the ratio of the work done by $1$ man and $1$ woman is

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$A$ can do a work in $12 \, days$. When he had worked for $3 \, days$,$B$ joined him. If they complete the work in $3$ more $days$,in how many $days$ can $B$ alone finish the work?

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$A$ and $B$ can together finish a work in $30$ days. They worked together for $20$ days and then $B$ left. After another $20$ days,$A$ finished the remaining work. In how many days can $A$ alone finish the job?

Similar Questions

$P$ and $Q$ can do a piece of work in $30$ and $40$ days respectively. They began the work together,but $P$ left after some days and $Q$ finished the remaining work in $12$ days. After how many days did $P$ leave?

$A$ can do a piece of work in $24$ days,$B$ in $32$ days,and $C$ in $64$ days. All begin to do it together,but $A$ leaves $6$ days before the completion of the work. How many days did the work last?

$A$ can finish a work in $24$ days,$B$ in $9$ days,and $C$ in $12$ days. $B$ and $C$ start the work but are forced to leave after $3$ days. The remaining work was done by $A$ in (in days):

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