SOLUTION: kristy can mow a lawn in 1 hour less time than her sister jane. together they can finish the job in 5 hours. how long would it take kristy if she worked alone?
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Question 98654: kristy can mow a lawn in 1 hour less time than her sister jane. together they can finish the job in 5 hours. how long would it take kristy if she worked alone?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
together=1/5
jane=1/x
kristy=1/x-1
1/x + 1/(x-1)=1/5
multiply 5x(x-1) yimes both sides: 5(x-1)+5x=x(x-1)
5x-5+5x=x^2-x
-x^2+11x-5=0
Quadratic formula: x=10.5 x-1=9.5
It would take kristy 9.5 hours
Ed
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