(A) Let $A$ and $B$ work together for $x$ days.$A$'s one-day work is $1/20$ and $B$'s one-day work is $1/30$.According to the problem,$A$ worked for $

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(A) Let $A$ and $B$ work together for $x$ days.$A$'s one-day work is $1/20$ and $B$'s one-day work is $1/30$.According to the problem,$A$ worked for $(x + 10)$ days and $B$ worked for $x$ days.The total work done is equal to $1$:$(x + 10)/20 + x/30 = 1$Multiply by the least common multiple $(60)$:$3(x + 10) + 2x = 60$$3x + 30 + 2x = 60$$5x = 30$$x = 6$ days.Thus,$B$ worked for $6$ days.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

Medium

$A$ and $B$ can separately complete a piece of work in $20$ days and $30$ days respectively. They worked together for some time,then $B$ left the work. If $A$ completed the rest of the work in $10$ days,then for how many days did $B$ work?

A
$6$
B
$8$
C
$12$
D
$16$

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Time and Work and Wages

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Time and Work

$A$ can complete a work in $m$ days and $B$ can complete it in $n$ days. How many days will it take to complete the work if both $A$ and $B$ work together?

Easy

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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?

Difficult

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$A$ can do a piece of work in $30$ days while $B$ can do it in $40$ days. In how many days can $A$ and $B$ working together do it?

Medium

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Anu can complete a work in $10$ days. Manu is $25\%$ more efficient than Anu,and Sonu is $60\%$ more efficient than Manu. Working together,how long would they take to finish the job? (in days)

Medium

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$2$ men alone or $3$ women alone can complete a piece of work in $4$ days. In how many days can $1$ woman and $1$ man together complete the same piece of work?

Medium

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$A$ and $B$ can separately complete a piece of work in $20$ days and $30$ days respectively. They worked together for some time,then $B$ left the work. If $A$ completed the rest of the work in $10$ days,then for how many days did $B$ work?

Similar Questions

$A$ can complete a work in $m$ days and $B$ can complete it in $n$ days. How many days will it take to complete the work if both $A$ and $B$ work together?

$A$ 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?

$A$ can do a piece of work in $30$ days while $B$ can do it in $40$ days. In how many days can $A$ and $B$ working together do it?

Anu can complete a work in $10$ days. Manu is $25\%$ more efficient than Anu,and Sonu is $60\%$ more efficient than Manu. Working together,how long would they take to finish the job? (in days)

$2$ men alone or $3$ women alone can complete a piece of work in $4$ days. In how many days can $1$ woman and $1$ man together complete the same piece of work?

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