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Question
A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be completed in:
A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. The total work will be completed in:
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Solution
The correct option is D 55/4 days
(A+B)’s 2 days’ work = (116 + 112) = 748
Work done in 6 pairs of days = (748 × 6) = 78. Remaining work = (1 − 78) = 18
Work done by A on 13th day = 116. Remaining work = 18 − 116 = 116
On 14th day, it is B’s turn.
112 work is done by B in 1 day. 116 work is done by B in (12 × 116) = 34 day.
∴ Total time taken = 1334 days
55/4 days
(A+B)’s 2 days’ work = (116 + 112) = 748
Work done in 6 pairs of days = (748 × 6) = 78. Remaining work = (1 − 78) = 18
Work done by A on 13th day = 116. Remaining work = 18 − 116 = 116
On 14th day, it is B’s turn.
112 work is done by B in 1 day. 116 work is done by B in (12 × 116) = 34 day.
∴ Total time taken = 1334 days
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