Team A, Team B, and Team C are working together to build a homecoming float. Independently, Team A requires ¼ of the time that it takes for Team B to build a float. Team B takes twice as long as Team C, which can build a float in 36 hours.
If Teams A, B, and C work together, then approximately how many hours will it take the groups to complete the float? 72/7 hours or about 10.3 hours
Verify the Answer
- Total Job = A's Portion + B's Portion + C's Portion
- 1 = Team A's rate * t + Team B's rate * t + Team C's rate * t
- 1 = (1/18)t + (1/72)t + (1/36)t
- 1 = (7/72)(72/7)
- 1 = 1