A sailor cut a 40 foot length of rope in two pieces. If the longer piece is five feet less than twice the shorter piece of rope, then how long is the longer piece.
A. 25 Feet.
B. 22 Feet
C. 23.6 Feet
D. 28.9 Feet
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Answer:
The length of longer piece = 40 - s = 40 - 15 = 25 feet
Step-by-step explanation:
The initial length of the rope is 40 feet.
The longer piece is five feet less than twice the shorter piece of rope.
Let the longer piece be l and smaller piece be s.
We can write equation as,
l = 2s - 5 → (1)
Also we know that,
l + s = 40 → (2)
By rewriting equation (2), we will get,
l = 40 - s
Substitute this in equation (1)
40 - s = 2s - 5
-3s = -45
s = 15
Therefore the length of longer piece = 40 - s = 40 - 15 = 25 feet
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