Question 71

Five women can do a work in thirty six days. If the ratio between the capacity of a man and a woman is 3:1, then find how many days it will take 5 men to complete the same work'?

Solution

Time taken by 5 women to do a work = 36 days

Time taken by 1 women to do the same work = 36 × 5 = 180 days

According to the given information,

Man/Woman = 3 : 1

Man = (1/3) × Woman

⇒ Time taken by 1 men to complete the same work = 1/3 × 180

∴ Time taken by 5 men to complete the same work = (1/5) × 1/3 × 180 = 12 days

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