SOLUTION: Ron can mow the lawn in two hours more time than Paul. Working together they can mow the lawn in 3 hours. How long does it take each of them working alone? Round your answers to th

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Question 384139: Ron can mow the lawn in two hours more time than Paul. Working together they can mow the lawn in 3 hours. How long does it take each of them working alone? Round your answers to the nearest tenth of an hour, if necessary.
A)Paul: 4 hours, Ron: 8 hours
B)Paul: 5.2 hours, Ron: 7.2 hours
C)Paul: 7.2 hours, Ron: 5.2 hours
D)Paul: 8 hours, Ron: 4 hours

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Ron can mow the lawn in two hours more time than Paul
Let x and (x+2) represent Paul and Ron's times solo respectively
Question states, per hour being the Equalizer
1/x + 1/(x+2) = 1/3hr Multiplying each term by 3x(x+2) so as all denominators = 1
3(x+2) + 3x = x(x+2)
3x+ 6 + 3x = x^2 +2x
x^2 - 4x - 6 = 0



x = -1.2 Or x = 5.2 (rounded to the nearest tenth)
tossing out negative solution
x = 5.2hr, Pauls Time, Ron's 7.2hr
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