SOLUTION: Any help would surely be appreciated. "If Cody and Hunter painted the room together, it would take them 4 hours and 57 minutes. Cody would be able to paint a room 3 hours and 3 m

Question 448312: Any help would surely be appreciated. "If Cody and Hunter painted the room together, it would take them 4 hours and 57 minutes. Cody would be able to paint a room 3 hours and 3 minutes faster if Hunter helped. Figure out how long each person needs to paint a room alone". Thanks.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
"If Cody and Hunter painted the room together, it would take them 4 hours and 57 minutes.
Cody would be able to paint a room 3 hours and 3 minutes faster if Hunter helped.
Figure out how long each person needs to paint a room alone".
:
Let's do this in minutes.
4 hrs 57 min = 297 min
3 hrs 3 min = 183 min
:
Let c = Cody's time alone
Let h = Hunter's time alone
:
Let the completed job = 1 (a painted room)
:
+ = 1
:
"Cody would be able to paint a room 3 hours and 3 minutes faster if Hunter helped."
So we can say:
c - 183 = 297
c = 297 + 183
c = 480 min Cody alone (8 hrs)
:
Replace c with 480, find h:
+ = 1
Multiply by 480h, results
297h + 480(297) = 480h
142560 = 480h - 297h
183h = 142560
h =
h = 779 min Hunter alone (12 hrs, 59 minutes)
:
:
See if that checks out
+ = 1
.61875 + .38126 ~ 1, so we can say
:
Cody, 8 hrs alone
Hunter, 12 hr 59 min alone
RELATED QUESTIONS
If John paints a house in 4 hours and Cindy paints a house in 6 hours, how long would it... (answered by Earlsdon)

If Sally can paint a house in 4 hours and John can paint the same house in 6 hours, how... (answered by solver91311)

This weekend, while my fiance and daughter were out of town, I decided to paint my living (answered by Alan3354,ankor@dixie-net.com)

if someone takes hours to paint a room, and another person takes 12 hours to paint a... (answered by CharlesG2)

Fred painted a room in 3 hours. Sally painted the same room in 2 hours. How long will... (answered by Earlsdon)

James and John, working together, can paint a room in 5 hours. If Jude helps James and... (answered by Solver92311)

I am doing a review for my nursing students at the college where I teach. I am having... (answered by jim_thompson5910,stanbon)

Sally can paint a room in 4 hours while it takes Steve 6 hours to paint the same room.... (answered by drk)

Sally can paint a room in 4 hours while it takes Steve 6 hours to paint the same room.... (answered by stanbon)