If jackie were to paint her living room alone, it would take 8 hours. her sister patricia could do the job in 9 hours. how long would it take them working together? if needed, submit your answer as a fraction reduced to lowest terms.

It takes them to work together for 4 hours and 14 minutes.

A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given

Jackie was to paint her living room alone. It would take 8 hours.

Her sister Patricia could do the job in 9 hours.

How long would it take them to work together?

We know the work is inversely proportional to the time. And formula we have

We have

Then by the formula.

Then the time 4.24 will be 4 hours and 14 minutes.

Thus, it takes them to work together for 4 hours and 14 minutes.

link

(72/17) hours

Step-by-step explanation:

Time Jackie would take alone , J = 8 hrs

Time Patricia would take alone , P = 9 hrs

Let the time they will take together be T

use the formula for shared unit rate

= +

= +

=

T = hours (or 4.24 hours)

step-by-step explanation:

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step-by-step explanation: