SOLUTION: Set up the equation which would be used to solve the following problem. Do not actually solve the equation. Working​ alone, a person A can paint a room in 6 hr. Person B c

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Question 1041641: Set up the equation which would be used to solve the following problem. Do not actually solve the equation.
Working​ alone, a person A can paint a room in 6 hr. Person B can paint the same room working alone in 8 hr. How long will it take them if they work​ together? (Let t represent the time they work​ together.)
Find an the equation for the time it would take for person A and person B to paint the room together.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
PERSON       RATE as ROOM/HOURS
A              1%2F6
B              1%2F8
A&B            1%2F6%2B1%2F8

How many HOURS per ROOM?
1%2F%281%2F6%2B1%2F8%29

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
Set up the equation which would be used to solve the following problem. Do not actually solve the equation.
Working​ alone, a person A can paint a room in 6 hr. Person B can paint the same room working alone in 8 hr. How long will it take them if they work​ together? (Let t represent the time they work​ together.)
Find an the equation for the time it would take for person A and person B to paint the room together.
With T being time both take, we get: highlight_green%281%2F6+%2B+1%2F8+=+1%2FT%29