SOLUTION: Dan can tile a floor in 3 hours. His assistant could tile the same floor in 8 hours. If they work together, how long will it take to tile the floor?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Dan can tile a floor in 3 hours. His assistant could tile the same floor in 8 hours. If they work together, how long will it take to tile the floor?      Log On


   



Question 935386: Dan can tile a floor in 3 hours. His assistant could tile the same floor in 8 hours. If they work together, how long will it take to tile the floor?
Found 2 solutions by TimothyLamb, Edwin McCravy:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
r = w/t
t = w/r
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rates are additive:
r = 1/3 + 1/8
r = 8/24 + 3/24
r = 11/24
t = 1/r
t = 24/11
t = 2.18 hours
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Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
Dan can tile a floor in 3 hours. His assistant could tile the same floor in 8
hours. If they work together, how long will it take to tile the floor?
Two ways to do it, with or without algebra. 

Here's how to do it easily without algebra, just basic math only.

If they could work together for 24 hours, Dan would tile 8 floors and his
assistant would tile 3 floors, or 11 floors in 24 hours or 1 floor in 24/11
hours or 2 2/11 hours.

Edwin