A and B work 7 hours a day. A completes a task in 6 days, B in 8 days. In how many days will they complete it together working 8 hours/day?
- 2.8 days
- 3 days
- 3.2 days
- 3.6 days
Explanation
Work done by A per hour = 1/(6*7) = 1/42
Work done by B per hour = 1/(8*7) = 1/56
Combined work per hour = 1/42 + 1/56 = (4/168 + 3/168) = 7/168 = 1/24
At 8 hours/day, work per day = 8 * 1/24 = 1/3
Total days to complete = 1 / (1/3) = 3 days
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