SOLUTION: Lea can groom the horses in her boarding stable in 5 hr, while Tran needs 4 hr. How long will it take them to groom the horses if they work together?

Question 77719This question is from textbook Introductory algebra
: Lea can groom the horses in her boarding stable in 5 hr, while Tran needs 4 hr. How long will it take them to groom the horses if they work together? This question is from textbook Introductory algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Lea can groom the horses in her boarding stable in 5 hr, while Tran needs 4 hr. How long will it take them to groom the horses if they work together?
----------
Lea DATA
Time = 5 hr/job ; Rate = 1/5 job/hr
--------
Tran DATA:
Time = 4 hr/job ; Rate = 1/4 job/hr
---------
Together DATA:
Time = x hr/job ; Rate = 1/x job/hr
-----------
EQUATION:
rate + rate = rate together
1/5 + 1/4 = 1/x
9/20 = 1/x
x=20/9 (Time for both together to do the job)
==============
Cheers,
Stan H.
RELATED QUESTIONS
jessica and cynthia work in a pet shop. it takes jessica 6 hours to groom all the pets... (answered by ankor@dixie-net.com)

Bob can groom a horse for a show in 2 hours. Eddie can do it in 1.5 hours. How long... (answered by stanbon)

ali can do a job in 9 hr, while susan can do the same job in 5 hr. how long would it take (answered by TimothyLamb)

Martha can rake the leaves in her yard in 5 hours. Her brother can do the job in 3 hours. (answered by Boreal)

Brett usually takes 50 min. to groom the horses. After working 10 min., he was joined by (answered by ankor@dixie-net.com,stanbon)

Brett usually takes 50 minutes to groom the horses. After working 10 minutes, he was... (answered by stanbon,richwmiller)

willie can type a 200 work essay in 6 hours. myra can type the same essay in 4.5 hours.... (answered by ewatrrr)

I get the problem down to step 4 but I am confused if I need to change the 1 x/2 to 3/2 (answered by stanbon)

Joan can mow a 8- acre field in 4 hours how long would it take her to mow a 2.8 acre... (answered by Boreal)