SOLUTION: Two boats leave the same dock and head in the same direction. Boat One travels twice as fast as Boat
Two. After 3.5 hours the boats are 5.25 miles apart. Find the speed of each
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Question 951403: Two boats leave the same dock and head in the same direction. Boat One travels twice as fast as Boat
Two. After 3.5 hours the boats are 5.25 miles apart. Find the speed of each boat.
How many liters of a 58% sugar solution must be added to 14 liters of a 40% sugar solution to produce a
50% sugar solution?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two boats leave the same dock and head in the same direction. Boat One travels twice as fast as Boat. Two. After 3.5 hours the boats are 5.25 miles apart. Find the speed of each boat.
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slower boat DATA:
time = 3.5 hrs ; rate = x mph ; distance = r*t = 3.5x miles
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faster boat DATA:
time = 3.5 hrs; rate = 2x mph ; distance = r*t = 7.5x miles
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Equation:
7.5x - 3.5x = 5.25 miles
4x = 5.25
x = 1.31 mph (slower boat rate)
2x = 2.62 mph (faster boat rate)
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How many liters of a 58% sugar solution must be added to 14 liters of a 40% sugar solution to produce a 50% sugar solution?
Equation:
sugar + sugar = sugar
0.58x + 0.40*14 = 0.50(x+14)
58x + 40*14 = 50x + 50*14
8x = 10*14
x = 17.5 liters (amt. of 58% solution needed)
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Cheers,
Stan H.
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