Paul can install a 300-square-foot hardwood floor in 18 hours. matt can install the same floor in 22 hours. how long would it take paul and matt to install the floor working together? a. 4 hoursb. 9.9 hoursc. 13.2 hoursd. 30 hours

B. 9.9 hours

Step-by-step explanation:

Given : Paul can install a 300-square-foot hardwood floor in 18 hours.

We consider whole job as 1.

Rate of work per hour for Paul =

Matt can install the same floor in 22 hours.

Rate of work per hour for Matt =

Now , when they both work together , the rate of work = , where t is time taken by both together.

Since ,

Hence, it would take 9.9 hours to install the floor working together.

Therefore , the correct answer is  B. 9.9 hours .

it has the same slope and a different y-intercept

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