SOLUTION: Bob can groom a horse for a show in 2 hours. Eddie can do it in 1.5 hours. How long will it take to groom one horse if they work together?

Question 210275This question is from textbook Algebra Structure and Method Book 1
: Bob can groom a horse for a show in 2 hours. Eddie can do it in 1.5 hours. How long will it take to groom one horse if they work together? This question is from textbook Algebra Structure and Method Book 1

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Bob can groom a horse for a show in 2 hours. Eddie can do it in 1.5 hours. How long will it take to groom one horse if they work together?
-----------------------------------
Bob DATA:
time = 2 hr/job ; rate = 1/2 job/hr
-----------------------------------------
Eddie DATA:
time = (3/2) hr/job ; rate = (2/3) job/hr
----------------------------------------------
Together DATA:
time = x hr/job ; rate = 1/x job/hr
================================================
Equation:
rate + rate = together rate
1/2 + 2/3 = 1/x
Multiply thru by 6x to get:
3x + 4x = 6
7x = 6
x = 6/7 hr
-----
6/7 hr = (6/7)*60 min is about 51 1/2 minutes
====================================================
Cheers,
Stan H.
RELATED QUESTIONS
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)

jessica and cynthia work in a pet shop. it takes jessica 6 hours to groom all the pets... (answered by ankor@dixie-net.com)

Lea can groom the horses in her boarding stable in 5 hr, while Tran needs 4 hr. How long (answered by stanbon)

Hello, Can you please help me with this question? 1. Solve the following parallel... (answered by josmiceli,ewatrrr)

A horse can run 2 miles in 6 minutes. How long will it take him to run 10 miles (in... (answered by Edwin McCravy)

working together john and bob can paint a house in 3 1/2 hours. working alone bob can do... (answered by lwsshak3,macston)

Joseph Murray built a horse for display at a baseball stadium. It took him 1.3 hours... (answered by ewatrrr)

If bob can mow a lawn in 5 hours, and jim can mow the same lawn in 3 hours,how long will... (answered by mananth)

Mark working alone can do 2 jobs in m hours, and Bob working alone can do 2 jobs in b... (answered by josmiceli)