Discussion

Question:

A track of 100 m can be built by 7 men or 10 women in 10 days. How many days will 14 men and 20 women take to build a track of 600 m?

Explanation:

Let efficiency of each man and woman be m and w units/day.

Given, 7m × 10 = 10w × 10
⇒ 7m = 10w

Now,
⇒ $\frac{7 m \times 10}{100} = \frac{(14 m + 20 w) \times d}{600}$

⇒ $\frac{7 m \times 10}{1} = \frac{(14 m + 14 w) \times d}{6}$

⇒ 7m × 10 × 6 = 28m × d

⇒ d = 15 days

Hence, option (a).

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