SOLUTION: The motorboat traveled 3 times as fast as the sloop. In fact, the motorboat traveled 48 miles in 2 hours less than it took the sloop to travel 24 miles. How fast did each of them

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Question 625311: The motorboat traveled 3 times as fast as the sloop. In fact, the motorboat traveled 48 miles in 2 hours less than it took the sloop to travel 24 miles. How fast did each of them travel? What were the times of each?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The motorboat traveled 3 times as fast as the sloop. In fact, the motorboat traveled 48 miles in 2 hours less than it took the sloop to travel 24 miles. How fast did each of them travel? What were the times of each?
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let x=speed of sloop
3x=speed of motorboat
travel time=distance/speed
..
48/3x=24/x-2
LCD: 3x
48=72-6x
6x=24
x=4
3x=12
..
48/3x=4
24/x=6
..
speed of sloop=4 mph
speed of motorboat=12 mph
travel time of sloop=6 hrs
travel time of motorboat=4 hrs