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anonymous
 5 years ago
A boat can travel 114 miles downstream in the same time that it can travel 24
miles upstream. If the boat can travel 23 miles per hour in still water, find the
speed of the current
anonymous
 5 years ago
A boat can travel 114 miles downstream in the same time that it can travel 24 miles upstream. If the boat can travel 23 miles per hour in still water, find the speed of the current

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So, we know that distance = speed x time, which means that time = distance divided by the time. Since the time for the boat to travel both ways is the same, we can write the equation: \[114\div(23c) = 24\div(23+c)\] where c is the speed of the current. 23c is the speed of the boat against the current, and 23+c is the speed of the boat with the current. All we have to do is eliminate the denominators and solve for c. So the equation should look like this: \[114(23)+114c=23(24)+24c\]Solve for c and you should find the the current is 15mph
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