SOLUTION: Ralph can lay down a floor tile in 5 seconds. Bob can lay down a floor tile in 4 seconds. If both boys work together, how many seconds would it take them to install 450 floor tiles

Algebra.Com
Question 1041146: Ralph can lay down a floor tile in 5 seconds. Bob can lay down a floor tile in 4 seconds. If both boys work together, how many seconds would it take them to install 450 floor tiles?
Found 3 solutions by stanbon, MathTherapy, ikleyn:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Ralph can lay down a floor tile in 5 seconds. Bob can lay down a floor tile in 4 seconds. If both boys work together, how many seconds would it take them to install 450 floor tiles?
--------------------
Ralph rate:: 1/5 tile/sec
Bob rate:: 1/4 tile/sec
------
Together rate = (1/5) + (1/4) = 9/20 tile/sec
------
Ans:: 450(9/20) = 22.5*9 = 201.6 seconds
-------------
Cheers,
Stan H.
---------------

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Ralph can lay down a floor tile in 5 seconds. Bob can lay down a floor tile in 4 seconds. If both boys work together, how many seconds would it take them to install 450 floor tiles?
Ralph takes 2,250 seconds, alone, while Bob takes 1,800 seconds, alone
Time both take, working together:
Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
.
Ralph can lay down a floor tile in 5 seconds. Bob can lay down a floor tile in 4 seconds.
If both boys work together, how many seconds would it take them to install 450 floor tiles?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Every 20 seconds Ralph lays 4 tiles and Bob lays 5 tiles.
So, every 20 seconds both boys lay 4 + 5 = 9 tiles working together.

 = 50.

Hence, the boys need 50*20 = 1000 seconds to lay all 450 tiles working together.

Answer.  1000 seconds.


RELATED QUESTIONS

Jerry can lay a tile floor in 3 hours less time than Jake. If they can work together, the (answered by Theo,MathTherapy)
Dan can tile a floor in 3 hours. His assistant could tile the same floor in 8 hours. If... (answered by TimothyLamb,Edwin McCravy)
jerry and kuba are laying a hardwood floor. working alone jerry can finish the job in 20... (answered by richwmiller)
Fred is putting down tile down for a new gymnasium. He can lay 25 square feet of tile an... (answered by solver91311)
Jerry and Sam are laying a hardwood floor. Working alone, Jerry can do the job in 20... (answered by josmiceli)
if 3 chickens can lay a dozen eggs in 2 days, how many eggs can 5 chicken lay in 9days? (answered by ankor@dixie-net.com)
Alan took 4 hours to tile the floor of a room. Gary took 6 hours to tile the floor of the (answered by josmiceli)
The kitchen floor of your home is 12 feet 6 inches in width and 10 feet 4 inches in... (answered by solver91311)
tutor quick help plz and solution. Ed required 12 hours to lay linoleum tile on his... (answered by mananth)