A certain number of people can complete a piece of work in 12 days working 5 h a day. If the number of men is decreased by half, then how many hours a day should they work, so that the work is to be completed in 15 days?

Question

A certain number of people can complete a piece of work in 12 days working 5 h a day. If the number of men is decreased by half, then how many hours a day should they work, so that the work is to be completed in 15 days? (A) 10 (B) 9 (C) 8 (D) 6

Tardigrade Admin · Accepted Answer

(i) Use variation method. (ii) Consider the number of men as x in first case. Therefore, the number of men in second case is x / 2. (iii) Use (M1 D1 H1/W1)=(M2 D2 H2/W2) and find H 2.

Q. A certain number of people can complete a piece of work in 12 days working $5 h$ a day. If the number of men is decreased by half, then how many hours a day should they work, so that the work is to be completed in 15 days?

10

9

8

6

(i) Use variation method.
(ii) Consider the number of men as $x$ in first case. Therefore, the number of men in second case is $x /2$ .
(iii) Use $\frac{M _{1} D _{1} H _{1}}{W _{1}} = \frac{M _{2} D _{2} H _{2}}{W _{2}}$ and find $H_{2}$ .

Q. A certain number of people can complete a piece of work in 12 days working 5h a day. If the number of men is decreased by half, then how many hours a day should they work, so that the work is to be completed in 15 days?

10

9

8

6

(i) Use variation method. (ii) Consider the number of men as x in first case. Therefore, the number of men in second case is x/2. (iii) Use W1​M1​D1​H1​​=W2​M2​D2​H2​​ and find H2​.

Q. A certain number of people can complete a piece of work in 12 days working $5 h$ a day. If the number of men is decreased by half, then how many hours a day should they work, so that the work is to be completed in 15 days?

(i) Use variation method.
(ii) Consider the number of men as $x$ in first case. Therefore, the number of men in second case is $x /2$ .
(iii) Use $\frac{M _{1} D _{1} H _{1}}{W _{1}} = \frac{M _{2} D _{2} H _{2}}{W _{2}}$ and find $H_{2}$ .