SOLUTION: It takes j 6 hours to lay 100 square feet of tile. It takes k 5 hours to lay 100 square feet of tile. How long will it take them to lay 100 square feet of tile together?

Question 1009926: It takes j 6 hours to lay 100 square feet of tile. It takes k 5 hours to lay 100 square feet of tile. How long will it take them to lay 100 square feet of tile together?
Found 2 solutions by ikleyn, Boreal:
Answer by ikleyn(52775) (Show Source): You can put this solution on YOUR website!
.
+ = + = .

Hence, it will take of an hour for J and K to lay 100 of tile working together.

For details, see the lesson Using fractions to solve word problems on joint work in this site.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
in x hours, j lays x/6 of the tile.
in x hours, k lays x/5 of the tile.
Together, they lay (x/6)+(x/5)=1 room.
multiply everything by 30.
5x+6x=30
11x=30
x=30/11, or 2.73 hours
RELATED QUESTIONS
Fred is putting down tile down for a new gymnasium. He can lay 25 square feet of tile an... (answered by solver91311)
it took 27 min to lay 32 square feet of floor. At this rate how long will it take to lay (answered by macston)
Jerry can lay a tile floor in 3 hours less time than Jake. If they can work together, the (answered by Theo,MathTherapy)
A carpet layer can put down 400 square feet of carpeting in 2.5 hours. How many hours... (answered by ikleyn,Alan3354)
A carpet layer can put down 400 square feet of carpeting in 2.5 hours. How many hours... (answered by ikleyn)
If it takes 3 man 4 days to lay 400 feet of pipe, how many men will it take to lay 2400... (answered by josmiceli)
If you hire the Sod Guys to lay 3000 square feet of sod, it will cost $8300. If you get (answered by stanbon)
It takes 4 workers 9 days to lay a stretch of road. How long does it take 6 workers to... (answered by josmiceli)
A can lay a lawn in 10 hours, B can lay a lawn in 8 hours. What fraction of the lawn... (answered by ewatrrr)