# SOLUTION: can you please help me!!!!! solve this one with rational expression!!!! John takes 3 hours longer than andrew to peel 400 pounds of apples. if together they can peel 400 pounds of

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 Question 36775: can you please help me!!!!! solve this one with rational expression!!!! John takes 3 hours longer than andrew to peel 400 pounds of apples. if together they can peel 400 pounds of apples in 9 hours, then how long would it take john to peal the apples working alone? (please round your answer to three deciaml places)Answer by stanbon(57290)   (Show Source): You can put this solution on YOUR website!John takes 3 hours longer than andrew to peel 400 pounds of apples. if together they can peel 400 pounds of apples in 9 hours, then how long would it take john to peal the apples working alone? Andrew Data: time to do job = "x" hrs. rate doing job = 1/x job/hr. John Data: time to do job = "x+3" hrs. rate doing job = 1/(x+3) job/hr. Together Data: time to do job = 9 hrs. rate doing job = 1/9 job/hr. EQUATION: Rate + Rate = Rate 1/x + 1/(x+3) = 1/9 9(x+3)+9x=x(x+3) 18x+27=x^2+3x x^2-15x-27=0 Use quadratic formula to get: x=[15+sqrt(333)]/2 or [15-sqrt(333)]/2 x=16.624 hrs. The 2nd value of "x" is negative. John's time = x+3 = 19.624 hrs. Cheers, Stan H.