SOLUTION: M can do a piece of work in 4 hours, N and P together in 3 hours, and M and P together in 2 hours. How long will N alone take to do it?
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Question 947130: M can do a piece of work in 4 hours, N and P together in 3 hours, and M and P together in 2 hours. How long will N alone take to do it? Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! Rate x Time = Output
Let's choose the output to be 100%.
1.
.
.
2.
.
.
3.
Substitute eq. 1 into eq. 3,
Now substitute this into eq. 2,
So then,