Question

4 men or 6 women can finish a work in 16 days. In how many days the
same work is completed by 2 men and 9 women?
(2016) AB
(A) 12 days (B) 10 days (C) 9 days (D) 8 days​

Answer 1

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Answer 2

Given:-

• 4 men or 6 women can finish a work in 16 days.

⠀

To find:-

• The same work is completed by 2 mens and 9 womens.

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Solution:-

Let,

• 1 man can do (1/x) of work per day and 1 woman can do (1/y) of work per day .

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As we know that,

• 4 men or 6 women can finish a work in 16 days,

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→ 4 × (1/x) × 16 = 1

→ x = 64

Then,

→ 6 × (1/y) × 16 = 1

→ y = 96

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Now,

• The work completed by 2 by mens and 9 womens.

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→ [(2 × (1/64) + (9 × (1/96) )] × z = 1

→ [1/32 + 3/32] × z = 1

→ [1 + 3/32] × z = 1

→ [4/32] × z = 1

→ [1/8] × z = 1

→ z = 8

⠀

Hence,

• 2 mens and 9 womens can complete the same work in 8 days.