A rowing team rowed 50 miles while going with the current in the same amount of time as it took to row 25 miles going against the current. The rate of the current was 2 miles per hour. Find the rate of the rowing team in still water.

Answer 1

rowing speed in still water ---- x mph
speed of current ------------- 2 mph

time to go 50 miles with the current = 50/(x+2)
time to go 25 miles against current = 25/(x-2)
the two times are the same, so ...

50/(x+2) = 25/(x-2)
50x - 100 = 25x + 50
25x = 150
x = 6

speed in still water is 6 mph

Answer 2

A rowing team rowed 100
miles while going with the current in the same amount of time as it took to row
20 miles going against the current. The rate of the current was
6 miles per hour. Find the rate of the rowing team in still water.