Question

12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required
A.) 4 days
B.) 5 days
C.) 6 days
D.) 8 days

Answer 1

12*8*10/(8*15)=8
=8days answer

Answer 2

Answer:

$Option \pink { (D)}\:is \: correct$

Step-by-step explanation:

$Number \: of \: men (m_{1}) = 12 , \\Number \: of \: hours (h_{1}) = 8\:days ,\\Number \:of \:days (d_{1}) = 10 \:days$

$Number \: of \: men (m_{2}) = x , \\Number \: of \: hours (h_{2}) = 15\:days ,\\Number \:of \:days (d_{2}) = 8 \:days$

/* As , number of men depends upon two variables i.e number of days and number of hours per day.

Therefore,

Number of men direct Proportional to compound ratio of inverse ratio of number of hours per day and inverse ratio of number of days .

$\boxed { \pink { m_{2} \times h_{2} \times d_{2} = m_{1} \times h_{1} \times d_{1}} }$

$\implies m_{2} \times 15 \times 8 = 12 \times 8 \times 10$

$\implies m_{2} = \frac{12\times 8\times 10 }{15 \times 8 }\\= 8$

Therefore.,

$Option \pink { (D)}\:is \: correct$

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