Question

210 men working 12 hours a day can finish a job in 18 days how are required to finish the job in 20 days working 14 hours a day
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Answer 1

Step-by-step explanation:

As the number of men increases , number of days required will decrease . Similarly , if the number of working hours increases the number of days decreases. Hence the number of days is inversely proportional to the number of men and number of working hours. Hence the constant of proportionality is

K = 210 × 12 × 18

Let , x be the number of men ,

working 14 hours a day , required to finish the job in 20 days. Then 20 is inversely proportional to both x and 14 . This gives K = x × 14 × 20

Comparing two expressions for , we obtain ,

$x = \frac{210 \times 12 \times 18}{14 \times 20} \\ \\ x = 162$

Thus , the required number of men is 162 .