six construction workers that work at the same rate can build a house in $1.5$ days. how many days does it take $15$ constructio

Question

1 year ago

5

n workers, working at the same rate, to finish building a house? express your answer as a fraction in lowest terms.

1 answer:

navik [9.2K] · Answer 1 · 2024-02-25T22:42:23+03:00

The 15 workers, working at the same rate, will finish the house in 0.8 days.

<h3>How much time the 15 workers need to finish the house?</h3>

We assume that all the workers work at the same rate R.

The 8 workers can finish one house in 1.5 days, then:

(8*R)*1.5 days = 1 house.

Solving that for R we get:

R = (1/(1.5*8)) houses/day = 0.083 houses/day.

Now, if now there are 15 workers, then the rate for the 15 working together is:

15*R = 15*0.083 houses/day. = 1.25 houses/day.

They will construct a house in a time T such that:

(1.25 houses/day)*T = 1 house.

T = (1 house)/(1.25 houses/day) = 0.8 days.

The 15 workers, working at the same rate, will finish the house in 0.8 days.

If you want to learn more about working rates:

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