SOLUTION: if it takes 1 man 3 hours to paint 1 room and it takes another man 4 hours to paint the same room, how long will it take both me to paint the same room?

Question 225049: if it takes 1 man 3 hours to paint 1 room and it takes another man 4 hours to paint the same room, how long will it take both me to paint the same room?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
if it takes 1 man 3 hours to paint 1 room, and it takes another man 4 hours to paint the same room,
how long will it take both men to paint the same room?
:
Let t = time required when working together
:
Let the completed job (painted room) = 1
:
A typical "shared work" equation
+ = 1
Multiply by 12, get rid of the denominators
4t + 3t = 12
7t = 12
t =
t = 1.714 hrs working together; 1 hr .714(60) = 1 hr 43 sec
:
:
:
Check solution in the shared work equation
+ =
.5714 + .4285 = .9999 ~ 1
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