Question
20 men can do a task in 18 days while 30 women can
complete the same task in 24 days. In how many days will 1 man and 1 woman complete it together?Solution
ATQ,
Let the efficiency of a man and a woman be 'M' and 'W' units/day, respectively.
So, 20 × 18 × M = 30 × 24 × W
Or, M:W = 360 : 720 = 1 : 2
Let M = 1e and W = 2e
Let the required time be 'T' days
So, (1e + 2e) × T = 20 × 18 × 1e
Or, 3T = 360
∴ T = 360 ÷ 3 = 120 days
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