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barxatty [35]
2 years ago
5

A small motorboat travels 12mph in still water. It takes 3 hours longer to travel 68 miles going upstream than it does going dow

nstream. Find the rate of the current.
Mathematics
1 answer:
BartSMP [9]2 years ago
6 0
Let the speed of the current be x mi/hr
speed upstream=(12-x) mi/hr
speed downstream=(12+x) mi/hr
It takes 3 hours longer to travel upstream than downstream, thus
time taken upstream=68/(12-x)
time taken to travel downstream=68/(12+x)
the difference in time will be:
68/(12-x)-68/(12+x)=3
solving for x we get:
x=2.98 mi/hr

Thus the rate of current is 2.98 mi/hr




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