(A) 's $1$ day's work $= \frac{1}{20}$.$A$'s $4$ days' work $= \frac{4}{20} = \frac{1}{5}$.Remaining work $= 1 - \frac{1}{5} = \frac{4}{5}$.This remai

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(A) 's $1$ day's work $= \frac{1}{20}$.$A$'s $4$ days' work $= \frac{4}{20} = \frac{1}{5}$.Remaining work $= 1 - \frac{1}{5} = \frac{4}{5}$.This remaining work is completed by $A$ and $B$ together.$(A+B)$'s $1$ day's work $= \frac{1}{20} + \frac{1}{12} = \frac{3+5}{60} = \frac{8}{60} = \frac{2}{15}$.Time taken by $(A+B)$ to complete $\frac{4}{5}$ of the work $= \frac{4/5}{2/15} = \frac{4}{5} \times \frac{15}{2} = 6$ days.Total time for which the work lasted $= 4 + 6 = 10$ days.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

Difficult

$A$ and $B$ can do a piece of work in $20$ days and $12$ days respectively. $A$ started the work alone and then after $4$ days $B$ joined him until the completion of the work. How long did the work last? (in days)

A
$10$
B
$20$
C
$15$
D
$6$

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Time and Work and Wages

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Time and Work

Subhash can copy $50$ pages in $10$ $h$,Subhash and Prakash can copy $300$ pages in $40$ $h$. In how much time can Prakash copy $30$ pages? (in $h$)

Medium

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$A$ is thrice as good a workman as $B$,therefore,$A$ is able to finish a piece of work in $60 \, days$ less than $B$. The time (in $days$) in which they can do it working together is

Difficult

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$A$'s $2$ days work is equal to $B$'s $3$ days work. If $A$ can complete the work in $8$ days,then to complete the work $B$ will take (in days):

Easy

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$A$ and $B$ can together complete a task in $18$ hours. After $6$ hours, $A$ leaves. $B$ takes $36$ hours to finish the rest of the task. How many hours would $A$ have taken to do the task if he worked alone?

Medium

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Three men,four women and six children can complete a work in $7$ days. $A$ woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in $7$ days?

Difficult

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$A$ and $B$ can do a piece of work in $20$ days and $12$ days respectively. $A$ started the work alone and then after $4$ days $B$ joined him until the completion of the work. How long did the work last? (in days)

Similar Questions

Subhash can copy $50$ pages in $10$ $h$,Subhash and Prakash can copy $300$ pages in $40$ $h$. In how much time can Prakash copy $30$ pages? (in $h$)

$A$ is thrice as good a workman as $B$,therefore,$A$ is able to finish a piece of work in $60 \, days$ less than $B$. The time (in $days$) in which they can do it working together is

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