Problema Solution
Julie and Eric row their boat (at a constant speed) 27 miles downstream for 3 hours, helped by the current. Rowing at the same rate, the trip back against the current takes 9 hours. Find the rate of the current.
Answer provided by our tutors
Julie and Eric row their boat (at a constant speed) 27 miles downstream for 3 hours, helped by the current. Rowing at the same rate, the trip back against the current takes 9 hours. Find the rate of the current.
Let x, y be the speeds of boat, current.
3(x+y)=27.
9(x-y)=27.
x+y=9.
x-y=3 Byadding
2x=12
x=12/2 =6 mph.
y=9-x=9-6
=3 mph.
speed of boat =6 mph.
speed of current =3 mph.