Question
15 men can finish a job in 24 days, while 36 women can do
the same job in 20 days. How long will 1 man and 1 woman take to complete the work together?Solution
ATQ,
Let the efficiency of a man and a woman be 'M' and 'W' units/day, respectively.
So,15 × 24 × M = 36 × 20 × W
Or, M:W = 720 : 720 = 5 : 3
Let M = 5e and W = 3e
Let the required time be 'T' days
So, (5e + 3e) × T = 15 × 24 × 5e
Or,8T = 1800
∴ T = 1800 ÷ 8 = 225 days
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