Question 528128
Jason La Rue can shampoo the carpet on the main floor of the Sheraton Hotel in 3 hours. Tom Lockheart can shampoo the same carpet in 6 hours. If they work together, how long will it take them to shampoo the carpet?
Let x = time (hours) it takes for both
then
x(1/3 + 1/6) = 1
multiplying both sides by 6:
x(2 + 1) = 6
x(3) = 6
x = 6/3
x = 2 hours