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A boat's crew rowed 15 kilometers downstream, with the current, in 1 hours. The return trip upstream, against the current, covered the same distance, and it took 3 hours. F…
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A boat's crew rowed 15 kilometers downstream, with the current, in 1 hours. The return trip upstream, against the current, covered the same distance, and it took 3 hours. F…
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Feb 19, 2022
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A boat's crew rowed 15 kilometers downstream, with the current, in 1 hours. The return trip upstream, against the current, covered the same distance, and it took 3 hours. Find the crew's rowing rate in still water.
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b and c are the speeds of the boat (in still water) and the current.
Traveling with the current, the boat goes b+c km per hour.
1 hour * (b+c km)/hour = 15 km
b+c = 15
Traveling against the current, the boat goes b-c km per hour.
3 hours * (b-c km)/hour = 15
b-c = 5
Add the two equations
b = 10 km per hour
Andrew Bogaevskyi
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Feb 23, 2022
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