A and B can complete a work in 15 days and 10 days respectively. They starteddoing the work together, but after 2 days B had to leave and A alone completedthe remaining work. The whole work was completed in
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
A10 days
B8 days
C12 days
D15 days
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Correct answer is: 12 days
Explanation:
The work completed by both in 2 days is
\(2\big(\frac{ 1}{15} + \frac{1}{10}\big) = \frac{1}{3}.\)
Work done by A alone is \(\frac{2}{3}\)
For full work A needs 15 days
For 2/3 work the days needed is \( (\frac{2}{3})\times15\) = 10 days.
The work was completed in 10 +2 = 12 days.
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