SOLUTION: After a sailboat had been on the water for 3 h, a change in the wind direction reduced the average speed of the boat by 3 mph. The entire distance sailed was 54 mi. The total time

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Question 927769: After a sailboat had been on the water for 3 h, a change in the wind direction reduced the average speed of the boat by 3 mph. The entire distance sailed was 54 mi. The total time spent sailing was 5 h. How far did the sailboat travel in the first 3 h
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
After a sailboat had been on the water for 3 h, a change in the wind direction reduced the average speed of the boat by 3 mph. The entire distance sailed was 54 mi. The total time spent sailing was 5 h. How far did the sailboat travel in the first 3 h
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1st leg DATA:
time 3 hr ; rate = x mph ; distance = 3x miles
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2nd leg DATA:
time = 2 hr ; rate = x-3 mph ; distance = 2x-6 miles
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Equation:
dist + dist = 54 miles
3x + 2x - 6 = 54
5x = 60
x = 12 mph
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Ans: distance traveled on 1st leg = 3x = 3*12 = 36 mph
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Cheers,
Stan H.
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