(D) $(A + B)$'s $2$ days' work $= 2 \times (\frac{1}{8} + \frac{1}{10}) = 2 \times \frac{5+4}{40} = 2 \times \frac{9}{40} = \frac{9}{20}$.Remaining wo

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(D) $(A + B)$'s $2$ days' work $= 2 \times (\frac{1}{8} + \frac{1}{10}) = 2 \times \frac{5+4}{40} = 2 \times \frac{9}{40} = \frac{9}{20}$.Remaining work $= 1 - \frac{9}{20} = \frac{11}{20}$.$(B + C)$'s $1$ day's work $= \frac{1}{10} + \frac{1}{15} = \frac{3+2}{30} = \frac{5}{30} = \frac{1}{6}$.Days taken by $B$ and $C$ to complete the remaining work $= \frac{\text{Remaining work}}{\text{Efficiency of } (B+C)} = \frac{11/20}{1/6} = \frac{11}{20} \times 6 = \frac{33}{10}$ days.Total days to complete the work $= 2 + \frac{33}{10} = \frac{20+33}{10} = \frac{53}{10}$ days.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

Medium

$A, B$ and $C$ can do a piece of work individually in $8, 10$ and $15$ days respectively. $A$ and $B$ start working,but $A$ quits after working for $2$ days. After this,$C$ joins $B$ until the completion of the work. In how many days will the work be completed?

A
$\frac{53}{9}$
B
$\frac{34}{7}$
C
$\frac{85}{13}$
D
$\frac{53}{10}$

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Time and Work and Wages

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Time and Work

$A$ and $B$ working separately can do a piece of work in $10 \text{ days}$ and $15 \text{ days}$ respectively. If they work on alternate days beginning with $A$,in how many days will the work be completed?

Easy

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$A$ and $B$ together can do a piece of work in $9$ days. If $A$ does thrice the work of $B$ in a given time,the time $A$ alone will take to finish the work is (in days)

Easy

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$A$ contractor undertakes to dig a canal $12 \, km$ long in $350 \, days$ and employs $45$ men. After $200 \, days$ he finds that only $4.5 \, km$ of the canal has been completed. Find the number of extra men he must employ to finish the work in time (in $men$).

Medium

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$A, B$ and $C$ can do a piece of work individually in $8, 12$ and $15$ days,respectively. $A$ and $B$ start working,but $A$ quits after working for $2$ days. After this,$C$ joins $B$ until the completion of the work. In how many days will the work be completed?

Difficult

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$A$ piece of work was to be completed in $40$ days. $A$ number of men employed upon it did only half the work in $24$ days. $16$ more men were then set on,and the work was completed in the specified time. How many men were employed at first?

Medium

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$A, B$ and $C$ can do a piece of work individually in $8, 10$ and $15$ days respectively. $A$ and $B$ start working,but $A$ quits after working for $2$ days. After this,$C$ joins $B$ until the completion of the work. In how many days will the work be completed?

Similar Questions

$A$ and $B$ working separately can do a piece of work in $10 \text{ days}$ and $15 \text{ days}$ respectively. If they work on alternate days beginning with $A$,in how many days will the work be completed?

$A$ and $B$ together can do a piece of work in $9$ days. If $A$ does thrice the work of $B$ in a given time,the time $A$ alone will take to finish the work is (in days)

$A$ contractor undertakes to dig a canal $12 \, km$ long in $350 \, days$ and employs $45$ men. After $200 \, days$ he finds that only $4.5 \, km$ of the canal has been completed. Find the number of extra men he must employ to finish the work in time (in $men$).

$A, B$ and $C$ can do a piece of work individually in $8, 12$ and $15$ days,respectively. $A$ and $B$ start working,but $A$ quits after working for $2$ days. After this,$C$ joins $B$ until the completion of the work. In how many days will the work be completed?

$A$ piece of work was to be completed in $40$ days. $A$ number of men employed upon it did only half the work in $24$ days. $16$ more men were then set on,and the work was completed in the specified time. How many men were employed at first?

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