SOLUTION: Jenny can cut and split a cord of firewood in 3 fewer hours than Tim can. When they work together it takes them 2 hours . How long would it take for them to do the job alone?
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Question 919340: Jenny can cut and split a cord of firewood in 3 fewer hours than Tim can. When they work together it takes them 2 hours . How long would it take for them to do the job alone? Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website! x Tim's time |Multiplying thru by 2x(x-3) so as all denominators = 1
2x + 2(x-3) = x(x-3)
4x - 6 = x^2 - 3x
x^2 - 7x + 6 = 0 Factoring
(x-6)(x-1) = 0 |Note x = 1 Extraneous
x = , Tim's time. Jenny
And...checking
1/3 + 1/6 = 3/6 = 1/2
