On a construction site, the amount of hours needed to do a job is
inversely proportional to the number of men working. If it takes 10 men
18 hours to repair a road, how long will it take 15 men to do the same
job if they work at the same rate?

Respuesta :

It will take 12 hours for 15 men to do same job.

How to determine this?

When amount of hour ∝ 1/number of men

When H represent Hour

And M represent the number of men

k to represent the constant

H = k/M as it is inversely proportional

It takes 10 men 18 hours to repair a road

18 = k/10

k = 18 × 10

k = 180

How long will it take 15 men?

When k = 180

H = k/M

H = 180/15

H = 12 hours

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