# math

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A boat's crew rowed 12 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current covered the same distance, but took 4 hours. Find the crew's rowing rate in still water and the rate of the current...

The crew's rowing rate in still water is ??? mile(s) per hours.
The rate of the currents is ??? mile(s) per hour.

• math -

Let the rowing rate be x mph
let the current's rate by y mph

going with the current, will be a rate of x+y mph
going against the current would be x-y mph

so you get two equations, using Distance = rate x time

1.5(x+y) = 12
4(x-y) = 12

1st: divide by 1.5
---> x+y = 8
2nd: divide by 4
---> x-y = 3

2x = 11
x = 5.5 mph
back in 1st, y = 2.5 mph

so the rowing speed is 5.5 mph,
the current's speed is 2.5 mph

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