Question
22 men can finish a piece of work in 20 days, while 44
women can do the same job in 30 days. How many days 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, 22 × 20 × M = 44 × 30 × W
Or, M:W = 440 : 1320 = 1 : 3
Let M = 1e and W = 3e
Let the required time be 'T' days
So, (1e + 3e) × T = 22 × 20 × 1e
Or, 4T = 440
∴ T = 440 ÷ 4 = 110 days
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