Question

Sixteen men can complete a work in twelve days. Twenty four children can complete the same work in 18 days. 12 men and 8 children started working and after eight days three more children joined them. How many days will they now take to complete the remaining work?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

If they will take 4 more days, they will complete the remaining work.

Step-by-step explanation:

To find:

In how many days will they now take to complete the remaining work?

Solution:

Lets assume Men as "M" and children as "C" .

So as per the Question

16M $\times$ 12 = 24C $\times$ 18

$\frac{M}{C} = \frac{432}{192}$

=> $\frac{M}{C} = \frac{9}{4}$

Total work= 16 $\times$ 9 $\times$ 12

Lets assume days required to complete remaining work = x days.

$\rightarrow {{(12 \times 9) + (8 \times 4)} \times 8} + {{(12 \times 9) + (11 \times 4)} \times x} = 16 \times 9 \times 12$

x=$\frac{608}{152}$

= 4 days.

To know more:

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