: John and Bob can paint a room in 12 days.
Will and Nick can paint room in 16 days.
John and Will can paint a room in only 8 days.
How long will it take Bob and Nick to paint the room?

  48 days

Step-by-step explanation:

In terms of rooms per day, the rates add up as ...

  (1/J +1/B) +(1/W +1/N) -(1/J +1/W) = 1/12 +1/16 -1/8

  1/B +1/N = (4+3-6)/48 = 1/48

Bob and Nick working together can paint 1/48 of the room each day. It will take 48 days for Bob and Nick to paint the room.

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