Answer: 6 hours
Step-by-step explanation:
If Paul takes 3 hours to clean the floor, then he cleans 13 of the floor per hour. His assistant takes some time t hours to do the same job, so he cleans 1t of the floor each hour. Working together, they clean the floor in 2 hours. This can be written as:
--> 1/3 + 1/t = 1/2
Multiply each side by the least common denominator, 6t.
6t(1/3+1/t)=6t(1/2)
Simplify and solve.
2t+6=3t
2t+6−2t=3t-2t
6=t
