Question

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 1

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

Answer 2

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Answer 3

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