SOLUTION: A boat sails a distance of 440 nautical miles. If the boat had averaged 11 nautical miles more each day, the trip would have required 2 fewer days. How long did the trip take?
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Question 887782: A boat sails a distance of 440 nautical miles. If the boat had averaged 11 nautical miles more each day, the trip would have required 2 fewer days. How long did the trip take?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A boat sails a distance of 440 nautical miles. If the boat had averaged 11 nautical miles more each day, the trip would have required 2 fewer days. How long did the trip take?
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let x=average speed of boat
travel time=distance/speed
lcd:x(x+11)
440(x+11)-440x=2x(x+11)
440x+4840-440x=2x^2+22x
2x^2+22x-4840=0
x^2+11x-2420
(x-44)(x+55)=0
x=44
440/44=10
How long did the trip take? 10 days
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