SOLUTION: Applications of Rational Equations and Functions It takes Bill 12 hours to paint a house, and it takes John 20 hours to paint the same house. How long will it take them to pa

Question 816035: Applications of Rational Equations and Functions

It takes Bill 12 hours to paint a house, and it takes John 20 hours to paint the same house. How long will it take them to paint the house if they work together? (Please show the equation and how you got the answer! THANK YOU)
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
b = 1 job / 12 hrs
j = 1 job / 20 hrs
---
work rate for both men:
r = b + j
r = 1/12 + 1/20
r = 20/12(20) + 12/12(20)
r = 20/240 + 12/240
r = 32/240 jobs/hr
---
r = u / t
t = u / r
---
t = u / r
t = 1 job / ( 32/240 jobs/hr)
t = 240 hr / 32 job
---
Answer:
t = 7.5 hr/job
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
RELATED QUESTIONS
if Jane takes 5 hours to paint a house and John takes 6 hours to paint a house. How long... (answered by rapaljer)

IF IT TAKES SALLY 4 HOURS TO PAINT A HOUSE AND IT TAKES JOHN 6 HOURS TO PAINT THE SAME... (answered by funmath)

It takes Bill 4 hours to paint a house and it takes Charlie 6 hours to paint the same... (answered by robertb)

if it takes sally 4 hours to paint a house and it take john 6 hours to paint the same... (answered by Paul)

If it takes Sally 4 hours to paint a house and John 6 hours to paint the same house, how... (answered by stanbon,RAY100)

It takes jane 15 hours to paint a house. It takes john 18 hours to paint the same house.... (answered by nerdybill)

if maria paint a house in 4 hours, and john takes 6 hours topaint the same house.. how... (answered by Alan3354)

If it takes one man 6 hours to paint a house and the other man 12 hours to paint the same (answered by haelii)

Hi, I need your help in solving this problem. I find it hard and I can't come up with a... (answered by scott8148)