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
A12 days
B13 days
C13 $\frac{5}{7}$ days
D13 $\frac{3}{4}$ days
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Correct ansswer is: 1334 days
Explanation:
A's rate of work =116
B's rate of work = =112
In 2 days, A and B complete 116+112=(3+4)48 =748 of the work
In 6×2=12 days, they complete (7×6)48 =4248 of the work
In 13 days, they complete 4248+116=4548 of the work
Remaining work =348
B can do 112=448
So it takes 1334or 13.75 days to complete.
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