A kayaker paddles upstream for 1.5 hours, then turns his kayak around and returns to his tent in 1 hour. He travels 3 miles each way. What is the rate of the river's current?

Guest Mar 1, 2020

#1**+1 **

rate * time = distance

The didstance, d , is the same for both legs of the trip =3

c = current

p = paddle speed still water

(p-c) * 1.5 hr = 3mi = 1.5 p - 1.5 c = 3

(p+c) 1 hr = 3mi = p + c = 3 Multiply by 1.5 = 1.5 p + 1.5 c = 4.5

Add red equations together 3p =7.5 p = 2.5 m/hr (....and c = .5 m/hr)

ElectricPavlov Mar 2, 2020