SOLUTION: Three postal workers can sort a stack of mail in 30 ​minutes, 30 ​minutes, and 60 ​minutes, respectively. Find how long it takes them to sort the mail if all thre
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Question 1127387: Three postal workers can sort a stack of mail in 30 minutes, 30 minutes, and 60 minutes, respectively. Find how long it takes them to sort the mail if all three work together.
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
To find out how quckly they can do it as a team, first we have to bring their individual results down to a common metric so that we can compare apples with apples. So let's first bring their rates to one stack:
:
Worker 1: 1/30 (one stack/30 minutes)
Worker 2: 1/30
Worker 3: 1/60
1/30 + 1/30 + 1/60 = 1/minute
multiply all times 60:
2t + 2t + 1t = 60
5t = 60
t = 12 minutes. This is how long it will take the three working together.
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