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Examveda

Five men are working to complete a work in 15 days. After five days 10 women are accompanied by them to complete the work in next 5 days. If the work is to be done by women only, then in how many days could the work be over if 10 women have started it ?

A. 10 days

B. 12 days

C. 15 days

D. 18 days

Answer: Option C

Solution(By Examveda Team)

5 men's 15 day's work = 5 men's 10 day's work + 10 women's 5 day's work
⇒ 5 men's 5 day's work = 5 women's 5 day's work
⇒ 10 women's 5 day's work
$$\eqalign{ & = \left( {\frac{1}{{15}} \times 5} \right) \cr & = \frac{1}{3} \cr} $$
⇒ 10 women's 1 day's work = $$\frac{1}{{15}}$$
∴ 10 women can complete the work in 15 days.

This Question Belongs to Arithmetic Ability >> Time And Work

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