SOLUTION: To paint a room, it takes Mike 75 minutes, Joan 60 minutes, and Kyle 80 minutes when each person works alone. If all three work together, how long will the painting take?

Algebra.Com
Question 899314: To paint a room, it takes Mike 75 minutes, Joan 60 minutes, and Kyle 80 minutes when each person works alone. If all three work together, how long will the painting take?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Add their rates of painting:
Mike's rate:
( 1 room ) / ( 75 min )
Joan's rate:
( 1 room ) / ( 60 min )
Kyle's rate:
( 1 room ) / ( 80 min )
----------------------
Let = time in minutes with
all 3 painting:

Multiply both sides by

Multiply both sides by



-------------
with all 3 painting it will take 23.53 min
-------------
check:




close enough

RELATED QUESTIONS

It takes Jon 75 minutes to paint a room. It takes Jeff 60 minutes and Jackie 80 minutes... (answered by ankor@dixie-net.com)
abbie paints twice as fast as beth and three times as fast as cathie. if it takes them 60 (answered by ikleyn,josgarithmetic,math_tutor2020)
Nick, Kevin, and Joe can paint a room in 1 hour 20 minutes if the work together. Working (answered by josgarithmetic)
Any help would surely be appreciated. "If Cody and Hunter painted the room together, it... (answered by ankor@dixie-net.com)
Mr. Russo takes three minutes less than Mr. Lloyd to pack a case when each works alone.... (answered by ankor@dixie-net.com)
I still can't get how to answer this question: If a girl works for 8 minutes and her... (answered by ankor@dixie-net.com)
Mike can assemble a computer table in 40 minutes and I can do it in 60 minutes. If Mike... (answered by ptaylor)
Mike can assemble a computer table in 40 minutes and I can do it in 60 minutes. If Mike... (answered by ankor@dixie-net.com)
If it takes one person 15 minutes to paint a room and another person 45 mintues topaint... (answered by Cromlix)