SOLUTION: After a sailboat had been on the water for 3h, a change in the wind direction reduced the average speed of the boat by 5 mph. The entire distance sailed was 57 mi. The total time
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Question 209250: After a sailboat had been on the water for 3h, a change in the wind direction reduced the average speed of the boat by 5 mph. The entire distance sailed was 57 mi. The total time spent sailing was 6 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 3h, a change in the wind direction reduced the average speed of the boat by 5 mph. The entire distance sailed was 57 mi. The total time spent sailing was 6 h. How far did the sailboat travel in the first 3 h?
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1st part DATA:
time = 3 hr ; rate = x mph ; distance = rt = 3x miles
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2nd part DATA:
time = 3 hr ;rate = x-5 mph ; distance = rt = 5x-25 miles
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Equation:
distance + distance = 57
3x + 5x-25 = 57
8x = 82
x = 10 1/4 mph
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Distance traveled in 1st 3 hr. = (10 1/4)*3 = 30 3/4 miles
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Cheers,
Stan H.
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