# Algebra

on a canoe trip, Rita paddled upstream (against the current) at an average speed of 2 mi/hr relative to the riverbank. on the return trip downstream (with the current), her average speed was 3 mi/hr. find rita's paddling speed in still water and the speed of the river's current.

dealing w/- substitution and elimination

1. π 0
2. π 0
3. π 98
1. let w be the water speed
let b be the boat speed in still water.

b-w=2
b+w=3

solve. I would add the two equations to eliminate w.

1. π 0
2. π 0
posted by bobpursley
2. b-w=2

b+w=3 (transpose)
b=3-w (substitute)
3-w-w=2 (combine like terms)
-2w=-1 (cancel -2)
w= 1/2

1. π 0
2. π 0
posted by Navi

## Similar Questions

1. ### math

Jessie paddled her canoe 20 miles upstream, then paddled back. If the speed of the current was 3 mph and the total trip took 7 hours, what was Jessieβs speed?

asked by Jonah on April 18, 2018
2. ### algebra

Abby Tanenbaum paddled her canoe 10 miles upstream, and then paddled back to her starting point. If the rate of the current was 3 mph,and the entire trip took 3.5 hours, what was Abby's rate (in still water)?

asked by Jennifer on April 23, 2013
3. ### Algebra

When Neil was 2 miles upstream from camp on a canoe trip, he passed a log floating downstream with the current. He paddled upstream for 1 more hour and then returned to camp just as the log arrived. What was the rate of the

asked by Anonymous on December 19, 2014
4. ### 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
5. ### Math

Andre left his campsite and paddled to a fishing hole 1.5 km downstream. He timed his trip and found that it took him 9 min, His return trip upstream took him 22.5 min. Determine the speeed at which he paddled and the speed of the

asked by Timmy on February 22, 2016
6. ### MATH!!!!!!!

The river boat paddled upstream at 12km/h, stopped for 2 h of sightseeing, and paddled back at 18km/h. How far upstream did the boat travel if the total time for the trip, including the stop, was 7h? Please help me, the answer is

asked by bert on January 8, 2008
7. ### RATE, DISTANCE, TIME

TIM PADDLED HIS KAYAK 12 KM UPSTREAM AGAINST A 3 KM/H CURRENT AND BACK AGAIN IN 5 HR 20 MINUTES. iN THAT TIME HOW FAR COULD HE HAVE PADDLED IN STILL WATER 12/(v+3) + 12/(v-3) = 5.33 hours Solve for this speed in still water, v.

asked by CINDY on December 21, 2006
8. ### Algebra

During the first part of a canoe trip, May paddled 20 km up steam and 20 km back in a total time of 5 hrs. The speed of the river is 3 km/hr. Find Mayβs speed in still water. Set up the equation first then solve.

asked by john on November 24, 2015