math

Rowing. Abby rows 10 km upstream and 10 km back in a total time of 3 hr. The speed of the river is 5km/h. Find Abby’s speed in still water.use five-step problem solving process

  1. 👍 1
  2. 👎 0
  3. 👁 247
  1. Don't know what the "five-step process" is, but here is how I would solve it ....

    let her speed in still water be x km/h
    time to go upstream = 10/(x-5)
    time to go downstream = 10/(x+5)

    solving : 10/(x-5) + 10/(x+5) = 3
    10x + 50 + 10x - 50 = 3x^2 - 75
    3x^2 - 20x - 75 = 0
    x = (20 ± √1300)/6
    = 9.34 km/h or a negative, which we reject

    her still-water speed is 9.34 km/h

    1. 👍 0
    2. 👎 0
  2. the distance up and down the stream is 12km and total time taken is 1.5h with a current speed of 5km/h, what is the speed of still water?

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra II

    A rowing team rowed 50 miles while going with the current in the same amount of time as it took to row 25 miles going against the current. The rate of the current was 2 miles per hour. Find the rate of the rowing team in still

    asked by Brice on April 2, 2014
  2. Math

    Abby plans to purchase pencils as prizes for the school fair. The pencils cost $11.52 per case or can be purchased individually. With her available money, Abby can either buy ten cases of pencils and eight individual pencils or

    asked by Anonymous on January 16, 2016
  3. math

    in march, the savings of oliver, asia, hassan, and abby was $1440. in april, their savings became equaly when oliver's savings is doubled, asia's savings is decreased by $30, abby's savings is increased by $46, and hassan remained

    asked by Anonymous on December 2, 2011
  4. Math

    Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total rowing time is 48 min, for how long does she row upstream? you can express your answer to the nearest

    asked by Angie on January 17, 2009
  1. math

    On Abby Ellen's graduation from law school, Abby's uncle, Bull Brady, promised her a gift of $24,000 or $2,400 every quarter for the next 4 years after graduating from law school. If the money could be invested at 6% compounded

    asked by Maggie Hopkins on April 6, 2015
  2. Math- brain teasers!

    okay so i was given a worksheet with 15 word problems. i couldn't solve 2 so if you could help me out it would be good.. If you ask Catwoman how many cats she has, she answers with the riddle, 'five-sixths of my cats plus seven.'

    asked by Brennan on October 19, 2008
  3. Algerbra

    A boat's crew rowed 10.5 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current, covered the same distance, but took 3.5 hours. Find the crew's rowing rate in still water, and the rate of

    asked by Ali on April 10, 2013
  4. 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
  1. math

    A boat's crew rowed 12 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current covered the same distance, but took 4 hours. Find the crew's rowing rate in still water and the rate of the

    asked by sam on April 24, 2010
  2. algebra

    A boat's crew rowed 13.5 miles downstream, with the current, in 1.5 hours. The return trip upstream against the current covered the same distance, but took 4.5 hours. Find the crew's rowing rate in still water and the rate of the

    asked by tiara on December 15, 2010
  3. intermediate algebra

    Rowing. Abby rows 10km. upstream and 10km. back in a total time of three hours. The speed of the river is 5km./h. Find Abby's speed in still water.

    asked by ROCKY on August 2, 2011
  4. math

    donna took 3hours to row 18 km upstream. her return trip took 1 hour less. find the rate of rowing in still water and the rate of the current. let the speed of her rowing in still water be x km/h, let the speed of the current be y

    asked by ineedhelp on April 22, 2007

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