SOLUTION: Pete can do a job in 4 hours less than Sam can. Working together,they can complete the job in 16 hours. How long would it take each working alone? Round your answer to the nearest
Algebra.Com
Question 967061: Pete can do a job in 4 hours less than Sam can. Working together,they can complete the job in 16 hours. How long would it take each working alone? Round your answer to the nearest tenth of an hour
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their rates of working
Let = time it takes Sam to do job
[ 1 job ] / [ t hrs ] = rate for Sam
[ 1 job ] / [ t - 4 hrs ] = rate for Pete
[ 1 job ] / [ 16 hrs ] = their rate working together
----------------------
Multiply both sides by
Use quadratic formula
You can finish. Find
and
RELATED QUESTIONS
1. Pete can do a job in 4 hours less than Sam can. Working together they can complete the (answered by htmentor)
Koko can paint a room two hours less than Andre. If they will work together, they can... (answered by Edwin McCravy)
Aly can paint a room two hours less than AJ. If they will work together, they can finish... (answered by josgarithmetic)
Greg and Randy together can repair a car in 4 4/17 hours. Randy, working alone could do... (answered by josgarithmetic)
Phillip can clean a garage in 9 hours less time than his brother Chris. Working together, (answered by richwmiller)
Jerry and Sam are laying a hardwood floor. Working alone, Jerry can do the job in 20... (answered by josmiceli)
Andrew and paint a room in 6 hours. Marianne can do the sme job in 4 hours. Working... (answered by josgarithmetic)
Tom and Shondra can complete a job working together in 4 hours. If Shondra takes 6 hours... (answered by lwsshak3)
A and B working together can complete a job in 7 1/2 hours. Working alone, A takes 8... (answered by ankor@dixie-net.com)