SOLUTION: Bill takes 50 min to groom the horses. After working 10 min, he was joined by Ann and they finished the grooming in 15 min. How long would it have token Ann working alone? PLEASE H

Algebra ->  Equations -> SOLUTION: Bill takes 50 min to groom the horses. After working 10 min, he was joined by Ann and they finished the grooming in 15 min. How long would it have token Ann working alone? PLEASE H      Log On


   

Question 125305This question is from textbook Algebra: structure and method: Book 1
: Bill takes 50 min to groom the horses. After working 10 min, he was joined by Ann and they finished the grooming in 15 min. How long would it have token Ann working alone? PLEASE HELP!!! The answer is 30 min, but I don't know how to get there. HELP MUCH APPRICIATED!!!! This question is from textbook Algebra: structure and method: Book 1

Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Since Bill can do the job in 50 minutes then his work rate is 1%2F50
Let x=no. of minutes for Ann to do it alone
Then
Ann's work rate is 1%2Fx
The formula is work rate X time=work done

Work rate
X time
 =work done
Bill
1%2F50
25
1%2F2
Ann
1%2Fx
15
15%2Fx
Total work done
1

From the table,
1%2F2%2B15%2Fx=1
Multiply both sides by 2x.
x%2B30=2x
30=2x-x
x=30
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