Question 17

2 men and 5 women can be a work in 12 days. 5 men and 2 women can do that work in 9 days. Only 3 women can finish the same work in

Solution

according to the question

( 2m + 5w)12 = (5m +2w) 9

24m + 60w = 45m + 18w

$$ \frac{w}{m} = \frac{21}{42} = \frac{1}{2} $$

total work done = $$ ( 2 \times 2 + 5 \times 1 ) 12

= $$ 9 \times 12 = 108 $$

3 women can finish the same work in $$ 108 = 3 \times 1 \times t $$

solving t =36 days

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