(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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Quantitative Aptitude Questions

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Time and Work and Wages

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Time and Work

$A$ 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?

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$A$ and $B$ can complete a piece of work in $45$ and $40$ days respectively. Both started to work together,but after some days $A$ left and $B$ alone completed the remaining work in $23$ days. For how many days did $A$ work?

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$P$ and $Q$ complete a certain work in $30 \, days$,$Q$ and $R$ in $40 \, days$,while $R$ and $P$ in $60 \, days$. How long will they take to finish it together? (in $days$)

Medium

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$A, B$ and $C$ together earn $Rs. 2700$ in $18$ days. $A$ and $C$ together earn $Rs. 940$ in $10$ days. $B$ and $C$ together earn $Rs. 1520$ in $20$ days. Find the daily earning of $C$ (in $Rs.$).

Medium

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$45$ men complete a piece of work in $30$ days working $12$ hours a day. In how many days will $60$ men complete the work working $10$ hours a day?

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

$A$ 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?

$A$ and $B$ can complete a piece of work in $45$ and $40$ days respectively. Both started to work together,but after some days $A$ left and $B$ alone completed the remaining work in $23$ days. For how many days did $A$ work?

$P$ and $Q$ complete a certain work in $30 \, days$,$Q$ and $R$ in $40 \, days$,while $R$ and $P$ in $60 \, days$. How long will they take to finish it together? (in $days$)

$A, B$ and $C$ together earn $Rs. 2700$ in $18$ days. $A$ and $C$ together earn $Rs. 940$ in $10$ days. $B$ and $C$ together earn $Rs. 1520$ in $20$ days. Find the daily earning of $C$ (in $Rs.$).

$45$ men complete a piece of work in $30$ days working $12$ hours a day. In how many days will $60$ men complete the work working $10$ hours a day?

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