A boat travel 264 miles downstream and back. The trip downstream took 11 hours. The trip back to 66 hours. Find the speed of the boat in Stillwater and the speed of the current.

Answer 1

264 = (b+c)11 = (b-c)66

66b-66c = 264

11b+11c = 264

66b +66c = 6(264)

add last equation to 2nd equation to get

132 b = 7(264)

b = 7(2) = 14 mph for the boat speed

11c = 264 -11(14) = 264 - 154= 110

c = 110/11 = 10 mph for the current speed