Math homework help needed

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Jeff takes 5hrs longer to build a fence than it takes Bill. When they work together, it takes them 6hrs.  How long would it take Bill to do the job alone?

Oct 22nd, 2015

Thank you for the opportunity to help you with your question!

Bill does work of the fence per hour = 1/B
Jeff does 1/J per hour, = 1/(B+5)
Together, they do 1/6 per hour. 

1/B + 1/(B+5) = 1/6
B+5 + B = (1/6)*B*(B+5)
12B + 30 = B^2 + 5B
B^2 - 7B - 30 = 0
(B-10)*(B+3) = 0
B = 10 hours
J = 15 hours

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 22nd, 2015

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