# Algebra

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 rivers current?

1. 👍 0
2. 👎 0
3. 👁 211
asked by John
1. speed up = u -c
speed down = u+c

d = speed * time
3 = (u-c)1.5
3 = (u+c)1

1.5 u - 1.5 c = 3
1.5 u + 1.5 c = 4.5
--------------------- add
3 u = 7.5
u = 7.5/3

3 = 7.5/3 + c

c = (9-7.5)/3 = 2.5/3 = .83333333333333333333333333

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### algebra/ word problem

Justin paddles his kayak 6 miles upstream in 1,5 hours. he turns around and paddles downstream, the same distance, in only 1 hour. What is the rate in still water and what is the rate of the water's current

asked by lulu on January 9, 2013
2. ### Algebra 1

A kayaker paddled upstream from camp to photograph a waterfall and returns. The kayaker’s speed while traveling upstream is 4 mi/h and the kayaker’s speed while traveling downstream is 7 mi/h. What is the kayaker’s speed in

asked by Taylor on March 26, 2019
3. ### Physics

A kayaker paddles with a power output of 50.0 W to maintain a steady speed of 1.30 m/s. Calculate the resistive force exerted by the water on the kayak. If the kayaker doubles her power output, and the resistive force due to the

asked by Tim on March 9, 2010
4. ### Math

Jamie trains on his surfs every weekend. He paddles upstream for 3 1/2 hours, and then returns downstream to the point where he started in 2 hours and 6 minutes. If the river flows at 3 km/h find: a) his paddling speed in still

asked by Anonymous on January 4, 2016
5. ### physics

a kayaker paddles across a river at 4.2 m/s at an angle of 73 degrees northeast of the shoreline behind her. The river has a current of 2.4 m/s east acting separately from the motion of the kayaker. What is the kayaker's resultant

asked by anon on October 5, 2017
6. ### physics...

A kayaker paddles due north at 2 m/s. The river the kayaker is paddling in flows towards the east at 1 m/s. After 5 seconds of paddling, how far is the kayaker from where she started in m?

asked by HELP ME...uRGENT! on April 2, 2013
7. ### Help...More Math Help!!!...Please!

A kayaker paddled 2 hours with a 6 mph current in a river. The return trip against the same current took 3 hours. Find the speed the kayaker would make in still water. The speed is 6 mph slower going upstream and 6 mph faster

asked by Jessica on November 16, 2006
8. ### Math

Dayle is paddling his canoe upstream, against the current, to a fishing spot 10 miles always. If he paddles upstream for 2.5 hours and his return trip takes 1.25 hours, find the speed of the current, and his still water????????

asked by Candice Watt on February 1, 2011
9. ### physics

A kayaker paddles at 4.0 m/s in a direction 30° south of west. He then turns and paddles at 3.7 m/s in a direction 20° west of south. I know the formulas but having trouble figuring out the degree of angle. Ax=4(cos30)= 3.4641

asked by Lou on October 5, 2015
10. ### Math

Steve can kayak at 8 km/h in still water. On the river, Steve and the kayak travel slower upstream due to the current. It takes him 1.5 h for a trip downstream, but 3.25 h for the same distance upstream. Determine the speed of the

asked by Maggie on June 19, 2013

More Similar Questions