## anonymous 5 years ago Together Maria and Johannes can pick a bushel of apples in 16 min. Maria takes 4 min. more to pick a bushel than johannes does. Find the time it takes each person to pick a bushel of apples alone?

1. anonymous

Find the time it takes each person to pick a bushel of apples alone. : Let m = time for Maria to pick a bushel alone then (m-4) = time for Joan to do it : Let the completed job = 1 (a bushel of apples : Each girl will pick a fraction of a bushel and the two fractions must equal 1 $\frac{16}{m}+\frac{16}{m-4}=1$ Multiply by m(m-4), results: 16(m-4) + 16m = m(m-4) : 16m - 64 + 16m = m^2 - 4m combine like terms on the right 0 = m^2 - 4m - 32m + 64 A quadratic equation m^2 - 36m + 64 = 0 This will not factor, use the quadratic formula: a=1; b=-36; c=64 $m=\frac{-(-36)\pm \sqrt{-36^{2}-(4\times 1 \times 4)}}{2\times1}$ here your answer, good luck your home work

2. anonymous

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3. anonymous

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