Question

If 24 men can do a piece of work in 24 days
working 7 hours a day. In how many days
will 42 men finished the same work, working
8 hours a day?​

Answer 1

$\sf{\pink{\underline{Given:-}}}$

24 men can do a piece of work in 24 days working 7 hours a day.

$\sf{\blue{\underline{To\:find:-}}}$

In how many days will 42 men finish the same work, working 8 hours a day?

$\sf{\orange{\underline{Answer:-}}}$

$\sf{\underline{Men⟶Time\:working⟶Days\:required}}$

24 ㅤ⟶ㅤㅤㅤㅤ7ㅤㅤㅤ⟶ㅤㅤ24

1(inverselyㅤ⟶ 7 ㅤㅤ⟶ㅤ24*24 = 576

proportional)

42ㅤ ⟶ㅤㅤㅤㅤ7ㅤㅤㅤ⟶ 576/42=96/7

42 ㅤ⟶ㅤ 1ㅤ(inversely ㅤ⟶$\frac{96}{7} \times 7 = 96$

ㅤㅤㅤㅤㅤㅤproportional)ㅤㅤ

42ㅤㅤ⟶ㅤㅤ 8ㅤㅤㅤㅤ⟶ㅤ96/8 = 12

Ans.= 12 days.