Question

if 32 men working 12 hours a day can do a work in 15 days, how
5 days, how many men working
10 hours a day can do double that work in 24 days
​

Answer 1

48 men working 10 hours a day can do double that work in 24 days.

Step-by-step explanation:

We know that the formula of the Man-Days-Hours is given by,

$\frac{M1 * D1 * H1}{W1} = \frac{M2 * D2 * H2}{W2}$

Here we have,

M1 = No. of workers = 32

D1 = No. of days = 15 days

H1 = No. of hours a day = 12 hours  

H2 = No. of hours a day = 10 hours

D2 = No. of days = 24 days

W1 & W2 = work done  

M2 = No. of workers = need to find?

It is given that the work done by M2 is double the work done by M1 i.e.,

W2 = 2W1 ⇒ W2/W1 = 2/1  

Therefore, by substituting the given values  

 $\frac{32 * 15 * 12}{1} = \frac{M2 * 24 * 10}{2}$

⇒ M2 =   $\frac{5760 * 2}{24 * 10}$

⇒ M2 = 48 days

Thus, 48 men can do double the work by working for 10 hours a day in 24 days.

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