Question

8 men can dig a pit in 20 days. if a man works half as much more as a boy, then 4 men and 9 boys can dig a similar pit in :

Answer 1

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Answer 2

Answer:

16 days.

Step-by-step explanation:

Since,  if a man works half as much more as a boy,

Thus, the work done by a man = Boy's one day work + 1/2 of the work of boy

⇒ The work done by a man = 3/2 Boy's one day work

⇒ 3/2 boys = 1 man

⇒ 1 boy = 2/3 man

⇒ 9 boy = 6 man

Hence, the work done by 4 men and 9 boys = The work done by 10 men

Let n be the days taken by 10 men,

Given,

8 men can dig a pit in 20 days.

$\implies 10\times n = 8\times 20$

$\implies 10n = 160\implies n = 16\text{ days}$