Question

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?

Answer 1

B 9.9 hours

Explanation:

edge

Answer 2

Answer: Hello there!

We know that paul can install a 300 ft^2 floor in 18 hours.

Then he can install 300/18 = 16.67 ft^2 floor per hour.

Matt can install the same floor in 22 hours, then in one hour he can do:

300/22 = 13.64 ft^2 per hour.

if they work together, they can install (16.67 ft^2 + 13.64ft^2) = 30.3 ft^2 per hour.

now we want to see how much time they need to install the 300 ft^2 floor at a rate of 30.3 ft^2 per hour:

this is 300/30.3 = 9.9 hours or 9 hours and 54 minutes.