Asked by Michelle
                jack and jerry can complete a job together in 4 hours. if jack require 6 hours to do the job alone, how many hours will it take jerry to do the job alone.
A.12
B.10
C.8
D.6
E.4
            
        A.12
B.10
C.8
D.6
E.4
Answers
                    Answered by
            Reiny
            
    jack's rate = 1/6
Jerry's rate = 1/x
combined rate = 1/6 + 1/x
= (x+6)/(6x)
given:
1/( (x+6)/(6x) ) = 4
6x/(x+6) = 4
6x = 4x + 24
2x = 24
x = 12
It would take Jerry to work 12 alone to do the job
check:
combined rate = 1/6 + 1/12
= 3/12 = 1/4
time at combined rate = 1/(1/4) = 4
    
Jerry's rate = 1/x
combined rate = 1/6 + 1/x
= (x+6)/(6x)
given:
1/( (x+6)/(6x) ) = 4
6x/(x+6) = 4
6x = 4x + 24
2x = 24
x = 12
It would take Jerry to work 12 alone to do the job
check:
combined rate = 1/6 + 1/12
= 3/12 = 1/4
time at combined rate = 1/(1/4) = 4
                    Answered by
            Michelle
            
    Thanks
    
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