SOLUTION: A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

Algebra.Com
Question 770912: A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = B's rate of working
= A's rate of working
---------------
Also given is:
A's rate of working is ( 1 job ) / ( 23 days )


and

----------------
Let = time in days to finish
job working together


Multiply both sides by



Working together, they can do the
job in 13 days
check:



OK

RELATED QUESTIONS

A alone would take 6 hours more to complete the job than if both A and B would work... (answered by ankor@dixie-net.com)
Alan and Gary,working together, can complete a job in 36 minutes. Working alone, Alan... (answered by richwmiller)
Luke,Eddie, and Ryan can complete a job in 1 hour and 20 minutes if they work together.... (answered by alicealc,richwmiller)
Luke, Eddie, and Ryan can complete a job in 1 hours and 20 minutes if they work together. (answered by richwmiller)
Jessie and Mark are planning to paint a house together. Jessie thinks that if he works... (answered by Edwin McCravy)
Bob working alone could complete a particular job in 4.5 hrs, and Jim could complete it... (answered by ikleyn)
"it takes 3 hours for two people to complete a particular job working together. If one of (answered by mananth)
Greg and Randy together can repair a car in 4 4/17 hours. Randy, working alone could do... (answered by josgarithmetic)
To complete a work A takes 50% more time than B. If together they take 18 days to... (answered by amarjeeth123)