Problema Solution
Paul and Daniel together pick 40 bushels in 4.95 hours. Alone Daniel would have taken 9 hours. How long would it have taken paul alone?
Answer provided by our tutors
let
p = bushels per hour is the rate of paul
d = 40/9 bushels per hour is the rate of daniel
40/4.95 bushels per hour is the together rate
p + d = 40/4.95
p + 40/9 = 40/4.95
by solving the equation we find
p = 3.3636 bushels per hour
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for 40 bushels he will need
40/p = 40(40/4.95 - 40/9)
p = 11 hours
Paul needs 11 hours to pick up 40 bushels alone)