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Question

A wall of 100 metres 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 wall of 600 metres?


A
15
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B
20
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C
25
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D
30
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Solution

The correct option is B 15
According to question 10 women = 7 men $$\therefore$$ 20 women = 14 men
14 men + 20 women = 14 men + 14 men = 28 men
A wall of 100 m is built by 7 men in 10 days A wall of 100 m is built by 1 man in (10 x 7) days
A wall of 1 m is built by 1 man in $$\displaystyle \frac{10\times 7}{100}$$ days (less length, less days)
A wall of 600 m is built by 1 man in $$\displaystyle \frac{10\times 7\times 600}{100}$$ days (more length, more days)
A wall of 600 m is built by 28 men in $$\displaystyle \frac{10\times 7\times 600}{100\times 28}$$ days = 15 days

Mathematics

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