SOLUTION: 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

Question 982594: 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
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=time it takes Jerry to do the job alone
Then Jerry works at the rate of 1/x of the job per hour
And Jack works at the rate of 1/6 of the job per hour
Together they work at the rate of 1/4 of the job per hour
Sooooo
1/x + 1/6= 1/4 multiply each term by 12x to get rid of fractions
12 + 2x=3x subtract 2x from each side
x=12 hrs
ck
1/12 + 1/6 =? 1/4
1/12 + 2/12= 1/4
1/4=1/4
Hope this helps----ptaylor
RELATED QUESTIONS
Howard and Edward, working together, can complete a job in 12 hours. Edward requires 18... (answered by mananth,greenestamps,MathTherapy)

It takes Tom 4 hours to buid a fence. If he hires Jack to help him, together they can do... (answered by stanbon)

Tom and Shondra can complete a job working together in 4 hours. If Shondra takes 6 hours... (answered by lwsshak3)

Please help with the following rate question? Ian can remodel a kitchen in 20 hours and... (answered by josgarithmetic,ikleyn)

Two printing presses, working together, can complete a job in 2 hours. If one press... (answered by ptaylor)

Jake can complete a job in 5 hours while Jerry can complete the same job in 3 hours. How... (answered by solver91311)

If donald can perfrom a job working alone in 4 hours,and his brother mark can do the same (answered by lwsshak3)

Andrew and paint a room in 6 hours. Marianne can do the sme job in 4 hours. Working... (answered by josgarithmetic)

Jack can paint his apartment in 12 hours. His wife Cheryl requires 20 hours to do the... (answered by stanbon)