Time and Work - Arithmetic Aptitude Questions and Answers

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A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

$\frac { 1 } { 24 }$ day

$\frac { 7 } { 24 }$ day

3 $\frac { 3 } {7}$ day

4 days

Answer : Option C

Explanation :

Formula: If A can do a piece of work in n days, then A's 1 day's work = $\frac { 1 } { n }$

A + B + C)'s 1 day's work = $[ \frac { 1 } { 24 }$ + $\frac { 1 } { 6 }$ + $\frac { 1 } {12 }$ ]= $\frac { 7 } { 24 }$

Formula: If A's 1 day's work = $\frac { 1 } { n }$ then A can finish the work in n days.

So, all the three together will complete the job in $(\frac { 24 } {7 } )$ days=3 $\frac { 3 } {7}$ days

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