anonymous
  • anonymous
It takes Sally 6 hours longer than Joan to paint a room. Working together, they can paint the room in 4 hours. How long would it take each person working individually to paint the room?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Assume sally has a rate of 1 room / x hours Then Joan has a rate of 1 room / (x - 6) hours and combined they have a rate of 1 room / 4 hours so 1/x + 1/(x-6) = 1/4 solving that for x gives x = 12 or 2. 2 doesn't make sense because then Joan would be painting rooms in -4 hours. So Sally takes 12 hours and Joan takes 6 under normal circumstances.
anonymous
  • anonymous
Awesome. I just had Sally at (X+6) instead. Thank you.

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