SOLUTION: Jean filled the pool in 8 hours, and Mark filled it in 12 hours. The supervisor says it will take them 10 hours to fill it together. Is the supervisor correct or not, and why. (I f

Algebra ->  Rational-functions -> SOLUTION: Jean filled the pool in 8 hours, and Mark filled it in 12 hours. The supervisor says it will take them 10 hours to fill it together. Is the supervisor correct or not, and why. (I f      Log On


   

Question 1021282: Jean filled the pool in 8 hours, and Mark filled it in 12 hours. The supervisor says it will take them 10 hours to fill it together. Is the supervisor correct or not, and why. (I found a GCF of 24 but I'm not sure if that's correct)
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
"Filling THE pool" is the job to be done.

RATES:
Jean 1%2F8
Mark 1%2F12
in units of POOL per HOURS

Combined fill rate for Jean and Mark working on the task together is 1%2F8%2B1%2F12, POOLS per HOUR.

%281%2F8%29%283%2F3%29%2B%281%2F12%29%282%2F2%29

3%2F24%2B2%2F24

5%2F24

That is 24 HOURS to fill 5 POOLS;
24%2F5

highlight%284%264%2F5%29 HOURS per POOL.