Hank can row a boat 1 mi upstream (against the current) in 24 min. He can row the same distance downstream in 13 min. If both the rowing speed and current speed are constant, find Hanks rowing speed and the apes of the current.
+23251 Let H = rate of Hank in still water.
Let C = rate of the current.
The rate downstream is: H + C
The rate upstream is: H - C
Distance = rate x time
downstream: 1 = (H + C) · 13 ---> 1 = 13H + 13C ---> x 24 ---> 24 = 312H + 312C
upstream: 1 = (H - C) · 24 ---> 1 = 24H - 24C ---> x 13 ---> 13 = 312H - 312C
Adding down the columns: 37 = 624H ---> H = 37/624
24 = 312H + 312C ---> 24 = 312H + 312C
13 = 312H - 312C ---> x -1 ---> -13 = -312H + 313C
Adding down the columns: 11 = 624C ---> C = 11/624
Both of the rates are in terms of miles per minute.
