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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.
Let m = time for Maria to pick a bushel alone
(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
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
Do the math here, two solutions but only one will be reasonable, about 34 min for Marie