Question

Two people can paint a house in 14 hours. Working individually one of the people takes 2 hours more than it takes the other person to paint the house. How long would it take each person working individually to paint the house?
( You are supposed to get a quadratic equation and then solve that, but I don't know how to get to it.)

Answer 1

Using the together rate, it is found that it would take each person working individually 27 and 29 hours to paint the house.

What is the together rate?

The together rate is the sum of each separate rate.

In this problem, we have that the rates are given as follows:

• The together rate is 1/14.

• The separate rates are 1/d and 1/(d-2).

Hence:

$\frac{1}{d} + \frac{1}{d - 2} = \frac{1}{14}$

$\frac{d - 2 + d}{d(d - 2)} = \frac{1}{14}$

d² - 2d = 28d - 28.

d² - 30d + 28 = 0

(d - 29)(d - 0.96) = 0.

Both d and d - 2 have to be positive, hence the solution is d = 29, and it would take each person working individually 27 and 29 hours to paint the house.

More can be learned about the together rate at brainly.com/question/25159431

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