SOLUTION: Pam and Cindy, working together, can rake The yard in 5 hours. working alone, Cindy takes five times as long as pam. How long does it take pam to rake The yard alone?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Pam and Cindy, working together, can rake The yard in 5 hours. working alone, Cindy takes five times as long as pam. How long does it take pam to rake The yard alone?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 915226: Pam and Cindy, working together, can rake The yard in 5 hours. working alone, Cindy takes five times as long as pam. How long does it take pam to rake The yard alone?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1/a+1/b=1/x
a=b*5
1/b*5+1/b=1/5
1/b*5+5/5*b=1/5
6/b*5=1/5
5*b=30
b=6
a=6*5
a=30 b=6
check
1/a+1/b=1/x
1/30+1/6=1/5
0.33333333e-1+0.16666667=1/5
0.2=1/5
0.2=0.2
x=5 hours working together
a=30 hours working alone
b=6 hours working alone
ok
codewtr