Question
40 men or 50 women can build a wall in 30 days. If 40
men and 50 women work together, how many days will they take to complete 60% of the work?Solution
ATQ,
Let efficiency of each man and woman be M and W units/day respectively. So, 40M × 30 = 50W × 30 ⇒ 4M = 5W Total work = 40M × 30 = 1200M units Combined efficiency = 40M + 50W = 40M + 40M = 80M units/day (Since 50W = 40M using 4M = 5W) Required time for 60% of the work = 0.60 × (1200M / 80M) = 9 days
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