Time and Work - Arithmetic Aptitude Questions and Answers

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Discussion :: Time and Work

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

8 days

10 days

12 days

15 days

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Answer : Option C

Explanation :

(A + B)'s 1 day's work =[ $\frac { 1 } { 15}$ + $\frac { 1 } { 10}$ ]= $\frac { 1 } {6 }$

Work done by A and B in 2 days =[ $\frac { 1 } {6 } *2]$ = $\frac { 1 } {3 }$

Remaining work =[1- $\frac { 1 } {3 }$ ]= $\frac { 2 } {3 }$

Now, $\frac { 1 } {15 }$ work is done by A in 1 day.

$\frac { 2 } {3 }$ work will be done by a in[15 $*\frac { 2 } { 3 }$ ]= 10 days.