[email protected] wrote:If 5 men working for 6 hours a day can reap a field in 20 days, in how many days will 15 men reap the field, working 8 hours a day ?
(a) 5 days
(b) 6 days
(c) 7 & 1/2 days
(d) 9 days
Let the rate per worker = 1 unit per hour.
Rate for 5 men = 5 units per hour.
Work produced by 5 men working 6 hours per day = 5*6 = 30 units per day.
Work produced in 20 days = 20*30 = 600 units.
Thus, one field = 600 units.
Rate for 15 men = 15 units per hour.
Work produced by 15 men working 8 hours per day = 15*8 = 120 units per day.
At a rate of 120 units per day, the time required by 15 men to produce 600 units = 600/120 = 5 days.
The correct answer is
A.
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