Question
A can finish a task in 6 days by working for 8 hours/day
and B has the capacity to finish the same task in 8 days by working for 6 hours/day. In how many days will they finish it together by working 4 hours a day?Solution
The amount of work done by A in one day and 1 hour = (1/6) × (1/8) = 1/48 The amount of work done by B in one day and 1 hour = (1/8) × (1/6) = 1/48 The amount of work done by A and B together (A + B) = (1/48) + (1/48) = 2/48 = 1/24 So, The number of days taken to complete the work together working 4 hours per day = (1/24) × 4 = 1/6 ∴ A and B complete the work in 6 days together working for 4 hours per day.
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