# SOLUTION: 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 o

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: 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 o      Log On

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 Question 429340: 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.Answer by ankor@dixie-net.com(15659)   (Show Source): You can put this solution on YOUR website!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 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 + = 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