Problema Solution

A tugboat goes 140 miles upstream in 10 hours. The return trip downstream takes 5 hours. find the speed of the tugboat with out a current and the speed of the current.

Answer provided by our tutors

Let r = speed of boat without current

and c = speed of the current

140 = 10(r - c)

140 = 5(r + c)

14 = r - c

28 = r + c

42 = 2r

21 = r

c = 7

The speed of the tugboat is 21 mph, and the speed of the current is 7 mph.