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. 👍
  2. 👎
  3. 👁
  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. 👍
    2. 👎
    👤
    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. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. College Algebra

    A truck driver traveled at an average speed of 55 miles per hour on a 200 mile trip to pick up a load of freight. On the return trip(with the truck fully loaded), the average speed was 40miles per hour. What was the average speed

  2. Math

    On a trip of d miles to another city, a truck driver's average speed was x miles per hour. On the return trip the average speed was y miles per hour. The average speed for the round trip was 50 miles per hour. Show that

  3. 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

  4. Algebra

    Petra, who can paddle her canoe at a rate of 12 mph in calm water, is paddling her canoe on a river whose current is 6 mph. How long will it take her to travel 3 miles upstream against the current? Please help

  1. algebra

    tugboat goes 160 miles upstream in 10 hours. The return trip downstream takes 5 hours. Find the speed of the tugboat without a current and the speed of the current. speed of tugboat is speed of the current is

  2. precalculus

    please can somebody explain to me how to do this questions 8. Elli travelled 700km by truck to deliver some ostriches to her friend's farm. she then returned the same distance by car. The car averaged 10km/h faster than the truck

  3. math

    During a kayaking trip, a kayaker travels 12 miles upstream (against the current) and 12 miles downstream (with the current). The speed of the current remained constant during the trip. It took the kayaker 3 hours to travel

  4. Math

    A boat, whose speed in still water is 2.80m/s , must cross a 280m wide river and arrive at a point 120m upstream from where it starts. To do so, the pilot must head the boat at a 45.0 degrees upstream angle. What is the speed of

  1. Mathematics

    Danny in his motorboat,took 3 hours to make a downstream trip with a current of 6 kph. The return trip upstream took 5 hours. What is the speed of the boat in still water? What is the total travelled?

  2. math

    A motorboat can maintain a constant speed of 16 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 20 minutes and the return trip takes 15 minutes. What is the speed of the current?

  3. word problem

    A motor boat took 4 hours to make a downstream trip with a current of 3mph. The return trip against the same current took 8 hours. Find the speed of the boat in still water. Call Y the boat's rate. distance = rate x time.

  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????????

You can view more similar questions or ask a new question.