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in Commercial Mathematics by (49.1k points)
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75 boys do a piece of work in 24 days. How many men will finish double the work in 20 days when one days’ work of 2 men is equal to one days’ work of 3 boys?

(a) 100 men 

(b) 150 men

(c) 120 men

(d) 80 men

1 Answer

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Best answer

Correct option is (c) 120 men

The work of 3 boys = the work of 2 men.

∴ the work of 75 boys = \(\frac 23\) × 75 men

= 50 men.

So, 50 men finish the work in 24 days.

∴ In 20 days the work is finished by 50 × \(\frac{24}{20}\) ​days = 60 men.

∴ Double the work will be finished by 60 × 2 men = 120 men.

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