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. 👍 0
  2. 👎 0
  3. 👁 98
asked by Amber

  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. 👍 0
    2. 👎 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. 👍 0
    2. 👎 0
    posted by Navi

Respond to this Question

First Name

Your Response

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 Jessie’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 May’s speed in still water. Set up the equation first then solve.

    asked by john on November 24, 2015

  9. 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

  10. UPSTREAM

    THIS EXURSION WITH A BOAT TRAVEL 35KM UPSTREAM AND THEN BACK AGAIN IN 4 H 48 MINUTRE. iF THE SPEED OF THE BOAT I5 K,/H, WHAT IS THE SPEED OF THE CURRENT? Let v be the speed of the current. The boat's speed upstream (relative to

    asked by CINDY on December 21, 2006

More Similar Questions