SOLUTION: Susan can sort the office mail in 15 minutes but if Kathy helps, they can sort the mail in 8 minutes. How long would it take Kathy to sort the mail alone?
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Question 290972: Susan can sort the office mail in 15 minutes but if Kathy helps, they can sort the mail in 8 minutes. How long would it take Kathy to sort the mail alone? Found 2 solutions by richwmiller, ankor@dixie-net.com:Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! Susan can sort the office mail in 15 minutes but if Kathy helps,
they can sort the mail in 8 minutes.
How long would it take Kathy to sort the mail alone?
:
Let k = time required by Kathy to do it alone
Let the completed job = 1
;
A typical shared work equation + = 1
Multiply by 15k, results:
8k + 15(8) = 15k
8k + 120 = 15k
120 = 15k - 8k
120 = 7k
k =
k = 17.143 minutes, Kathy alone
:
:
Check solution
8/15 + 8/17.143 =
.533 + .467 = 1
