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?

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,

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