A local charity is wrapping holiday gifts for local needy families. When 8 volunteers work together, they can get all the gifts wrapped and distributed in 6 hours. How many hours would it have taken if there had been 12 volunteers, each working at the same rate?
Question
Answer:
Answer:4 hoursStep-by-step explanation:We can use rate-work formula shown below:RWT = JWhereR is the RateW is the number of workersT is the timeJ is the JobGiven, W = 8T = 6J = 1 (we consider the task as "1" task)Substituting, we find R:RWT = JR(8)(6) = 148R = 1R = 1/48Now, we need to find the time. Given:W = 12T = ?? (we want to find)J = 1 (same task)R = 1/48 (just found)Substituting, we find our answer:RWT = J(1/48)(12)T = 1(1/4)T = 1T = 4 hours
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