SOLUTION: I cannot seem to figure out the answer to the problem.
(Plumbing) One length of hot water pipe is 3 feet longer than the other.If their combined length is 27 feet , how long is th
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Question 202442This question is from textbook Mathematics For Technical trades
: I cannot seem to figure out the answer to the problem.
(Plumbing) One length of hot water pipe is 3 feet longer than the other.If their combined length is 27 feet , how long is the shorter pipe?
Thanks janet
This question is from textbook Mathematics For Technical trades
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
One length of hot water pipe is 3 feet longer than the other.If their combined length is 27 feet , how long is the shorter pipe?
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Let the smaller piece have length "x":
Then the longer picec has length "x+3":
---
Equation:
x + (x+3) = 27 ft.
2x + 3 = 27
2x = 24
x = 12 ft (length of the smaller piece)
x+3 = 15 ft (length of the longer piece)
===============================================
Cheers,
Stan H.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let
x = length of shorter pipe
y = length of longer pipe
Since "One length of hot water pipe is 3 feet longer than the other", this means that
Also, since "their combined length is 27 feet", we get
Start with the second equation.
Plug in .
Combine like terms on the left side.
Subtract from both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
-------------------------------------------
Since we know that , we can use this to find .
Go back to the second equation.
Plug in .
Subtract from both sides.
Combine like terms on the right side.
So the solutions are and .
This means that the shorter pipe is 12 feet long while the longer pipe is 15 feet long.
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