Question
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
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
Michelle
Thanks