SOLUTION: Together Maria and Johannes can pick a bushel of apples in 16 minutes. Maria takes 4 minutes more to pick a bushel than Johannes does. Find the time it takes each person to pick a

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Question 593460: Together Maria and Johannes can pick a bushel of apples in 16 minutes. Maria takes 4 minutes more to pick a bushel than Johannes does. Find the time it takes each person to pick a bushel of apples alone.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Add their individual rates of picing to get
their rate of picking together
Together, rate = ( 1 bushel ) / ( 16 min )
Let = Johanne's time ion minutes to pick 1 bushel
= Maria's time in minutes to pick 1 bushel
--------------------------------

Multiply both sides by




Use quadratic formula







( using the (-) sqrt gives negative time: ignore )



Johanne takes 30.125 min picking alone
Maria takes 34.125 min picking alone
check:




OK

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