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?

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.

56

step-by-step explanation: