SOLUTION: Two companies working together can clear a parcel of land in 15 hours. Working alone, it would take Company A 10 hours longer to clear the land than it would Company B. How long

Question 1162729: Two companies working together can clear a parcel of land in 15 hours. Working alone, it would take Company A 10 hours longer to clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone? (Round your answer to the nearest tenth.)
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
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Two companies working together can clear a parcel of land in 15 hours. Working alone, it would take Company A 10 hours longer
to clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone?
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Let x be the time for company B; then the time for company A is x+10. The setup equation is + = saying that the combined rate of work of the two companies is of the job per hour. To solve the equation, multiply both sides by 15x*(x+10). You will get 15*(x+10) + 15x = x*(x+10). Simplify it step by step 15x + 150 + 15x = x^2 + 10x 30x + 150 = x^2 + 10x x^2 - 20x - 150 = 0 Use the quadratic formula = = = = . Of the two roots, only positive value x= = 25.811 hours is the meaningfull solution. ANSWER. 25.811 hours for company B and 25.811+10 = 35.811 hours for company A. CHECK. Check the combined rate of work + = 0.0666667 hours. = 0.0666667 hours. ! Precisely/accurately correct !

Solved.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1/15 = 0.666667 hours.
! Precisely/accurately correct !
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Close.
1/15 = 0.0666667 hours.
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