SOLUTION: Tom and Shondra can complete a job working together in 4 hours. If Shondra takes 6 hours to do the job alone, how long would it take Tom to complete the job alone?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Tom and Shondra can complete a job working together in 4 hours. If Shondra takes 6 hours to do the job alone, how long would it take Tom to complete the job alone?      Log On


   



Question 533309: Tom and Shondra can complete a job working together in 4 hours. If Shondra takes 6 hours to do the job alone, how long would it take Tom to complete the job alone?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Tom and Shondra can complete a job working together in 4 hours. If Shondra takes 6 hours to do the job alone, how long would it take Tom to complete the job alone.
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1/6=sondra's work rate
1/x=Tom's work rate
1/4=Work rate working together
..
sum of individual work rates=work rate working together
1/6+1/x=1/4
1/x=1/4-1/6=3/12-2/12=1/12
x=12
ans:
It would take Tom 12 hrs to complete the job alone.