Question

8 men can dig a pit in 20 days. If a
man 4 works half as much again as a boy,
then 4 men and 9 boys can dig it in
(a) 10 days
(b) 12 days
(c) 15 days
(d) 16 days​

Answer 1

Answer:

(D) 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.

10 x n=8 x 20

10n=160

n=16