Alice can paint a room in 6 hours...?

  • Thread starter Thread starter Tina
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Tina

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Alice can paint a room in 6 hours. Her assistant can paint the same room in 8 hours. How long will it take if the two of them work together?

Correct Answer=10 points
 
Hours to paint together the room (x):
x/6 + x/8 = 1
4x + 3x = 24
7x = 24
x = 24/7 or 3 3/7

Answer: 3 3/7 hrs OR 3 hrs, 25 min & 42 6/7 seconds
 
In one hour, Alice can paint 1/6 of a room while the assistant can paint 1/8 of a room.

1/6 + 1/8=7/24

If they work together, they will take 1x24/7 hours
= 24/7 hours
= 3.43
 
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