(A) Given: $(A + B) = 1/30$,$(B + C) = 1/24$,$(C + A) = 1/20$ units per day.Adding these,we get $2(A + B + C) = 1/30 + 1/24 + 1/20 = (4 + 5 + 6)/120 =

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(A) Given: $(A + B) = 1/30$,$(B + C) = 1/24$,$(C + A) = 1/20$ units per day.Adding these,we get $2(A + B + C) = 1/30 + 1/24 + 1/20 = (4 + 5 + 6)/120 = 15/120 = 1/8$.So,$(A + B + C) = 1/16$ units per day.Work done by $A, B, C$ in $10$ days $= 10 \times (1/16) = 10/16 = 5/8$.Remaining work $= 1 - 5/8 = 3/8$.Efficiency of $A = (A + B + C) - (B + C) = 1/16 - 1/24 = (3 - 2)/48 = 1/48$.Time taken by $A$ to finish the remaining work $= (3/8) / (1/48) = (3/8) \times 48 = 18$ days.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

Difficult

$A$ and $B$ can do a piece of work in $30$ days,while $B$ and $C$ can do the same work in $24$ days and $C$ and $A$ in $20$ days. They all work together for $10$ days when $B$ and $C$ leave. How many days more will $A$ take to finish the work?

A
$18$
B
$24$
C
$30$
D
$36$

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Time and Work and Wages

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Time and Work

$4$ men and $6$ women can complete a work in $8$ days,while $3$ men and $7$ women can complete it in $10$ days. In how many days will $10$ women complete it?

Difficult

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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?

Medium

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Two men undertake a piece of work for $Rs. 600$. Individually,they can complete the work in $6$ days and $8$ days,respectively. With the assistance of a boy,they completed the work in $3$ days. The boy's share should be (in $Rs.$)

Medium

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$A$ man,a woman,and a boy can complete a job in $3, 4,$ and $12$ days respectively. How many boys must assist $1$ man and $1$ woman to complete the job in $\frac{1}{4}$ of a day?

Difficult

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$A, B$,and $C$ are employed to do a piece of work for $Rs. 529$. $A$ and $B$ together are supposed to do $\frac{19}{23}$ of the work,and $B$ and $C$ together are supposed to do $\frac{8}{23}$ of the work. What amount should $A$ be paid? (in $Rs.$)

Medium

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$A$ and $B$ can do a piece of work in $30$ days,while $B$ and $C$ can do the same work in $24$ days and $C$ and $A$ in $20$ days. They all work together for $10$ days when $B$ and $C$ leave. How many days more will $A$ take to finish the work?

Similar Questions

$4$ men and $6$ women can complete a work in $8$ days,while $3$ men and $7$ women can complete it in $10$ days. In how many days will $10$ women complete it?

$A$ 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?

Two men undertake a piece of work for $Rs. 600$. Individually,they can complete the work in $6$ days and $8$ days,respectively. With the assistance of a boy,they completed the work in $3$ days. The boy's share should be (in $Rs.$)

$A$ man,a woman,and a boy can complete a job in $3, 4,$ and $12$ days respectively. How many boys must assist $1$ man and $1$ woman to complete the job in $\frac{1}{4}$ of a day?

$A, B$,and $C$ are employed to do a piece of work for $Rs. 529$. $A$ and $B$ together are supposed to do $\frac{19}{23}$ of the work,and $B$ and $C$ together are supposed to do $\frac{8}{23}$ of the work. What amount should $A$ be paid? (in $Rs.$)

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