SOLUTION: Machine A can place wrappers on a batch of canned goods in 4 fewer hours than machine B. Together, they can complete the job in 1.5 hr.How long would it take each machine working a
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Question 1162093: Machine A can place wrappers on a batch of canned goods in 4 fewer hours than machine B. Together, they can complete the job in 1.5 hr.How long would it take each machine working alone?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the number of hours it takes Machine B to complete the entire job. Then 
is the number of hours it takes Machine A to do the entire job.
That means that Machine B can do 
of the job in 1 hour, and Machine A can do 
of the job in 1 hour. Consequently, working together they can do the sum of those two fractions of the job in one hour.
Since they can complete the job working together in 1.5 hours (
hours), then working together they can do 
of the job in one hour, hence:
Solve for and then calculate .
Hint: You will find that the equation reduces to a quadratic equation that has two roots. One of the roots will be less than 4 so you should discard that root since that would mean Machine A could do the job in a negative number of hours. Pick the larger root for
John
My calculator said it, I believe it, that settles it
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