Question

four men two women can do a piece of work together in one day if a woman is twice as efficient as a man ,in how many days can a woman working alone do the work​

Answer 1

Given :- four men and two women can do a piece of work together in one day. if a woman is twice as efficient as a man ,in how many days can a woman working alone do the work ?

Solution :-

Let us assume that, Efficiency of a man is x unit / day.

Than,

→ Efficiency of a woman = 2 * x = 2x unit / day.

So,

→ 4 men completes = 4 * x = 4x unit of work / day.

and,

→ 2 women completes = 2 * 2x = 4x unit of work / day.

than,

→ 1 one day total unit of work completes by 4 men and 2 women is = 4x + 4x = 8x units. = Total work .

Therefore,

→ Time taken by a woman working alone to do the complete work = (Total work)/(Efficiency of a woman) = 8x/2x = 4 days. (Ans.)

Hence, a women worming alone can do the work in 4 days.

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