SOLUTION: One crew can seal a parking lot in 12 hours and another in 16 hours. How long will it take to seal the parking lot if the two crews work together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: One crew can seal a parking lot in 12 hours and another in 16 hours. How long will it take to seal the parking lot if the two crews work together?       Log On


   

Question 909064: One crew can seal a parking lot in 12 hours and another in 16 hours. How long will it take to seal the parking lot if the two crews work together?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1/a+1/b=1/x
1/12+1/16=1/x
16/192+12/192=1/x
28/192=1/x
x=192/28
x=6.85714286 hours working together
check
x/a+x/b=1
x/12+x/16=1
6.85714286/12+6.85714286/16=1
0.57142857+0.42857143=1
1.0=1
ok