Algebra

A man drove his automobile to New York, a distance of 550 miles, at a certain average rate. He returned from New York at the rate of 11 mph more. The entire trip required 22.5 hours. What were his rates returning and going?

  1. 👍 0
  2. 👎 0
  3. 👁 234
  1. first rate ---- x mph
    return rate --- x+11

    sum of times = 22.5
    550/x + 550/(x+11) = 22.5
    times x(x+11)
    550x + 6050 + 550x = 22.5x(x+11)
    1100x + 6050 = 22.5x^2 + 247.5x
    22.5x^2 - 852.5x - 6050 = 0
    using the formula
    x = 44 or a negative

    he went at 44 mph going there, and 55 mph coming back

    check:
    550/44 + 550/55 = 22.5 , YEAHH

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    A road perpendicular to a highway leads to a farmhouse located 8 mile away.An automobile travels past the farmhouse at a speed of 80 mph. How fast is the distance between the automobile and the farmhouse increasing when the

  2. Math

    the stopping distance of an automobile is directly proportional to the square of its speed v. a car required 90 feet to stop when its speed was 70 miles per hour. find a mathematical model that gives the stopping distance d in

  3. Algebra 2 review

    Bob and Latoya both drove to a baseball game at a college stadium. Bob lives 70 miles from the stadium and latoya lives 60 miles from it. Bob drove at a rate of 50 miles/hour and Latoya drove at a rate of 40miles/hour. If they

  4. Mathematics

    On a recent trip, Lamar's distance varied directly with the number of hours he drove. He traveled 288 miles in 6 hours. Which equation shows Lamar's distance, d, based on the number of hours, h, he drove? A: đť‘‘=6â„Ž B:

  1. MATH

    Jordan drove for 6 hours at 55 miles per hour, while Matt drove for 3 hours at 60 miles per hour. If Isaac drove 82 miles longer than Jordan and Matt drove combined, for how many miles did Isaac drive?

  2. Calculus

    A road perpendicular to a highway leads to a farmhouse located 6 mile away. An automobile traveling on the highway passes through this intersection at a speed of 75mph. How fast is the distance between the automobile and the

  3. math

    Dominique drove home from work at an average speed of 36 miles per hour. If the distance from her house to her workplace is 5.4 miles, how long did her commute take

  4. Calculus - Related Rates

    A road perpendicular to a highway leads to a farmhouse located 5 miles away. An automobile traveling on the highway passes through this intersection at a speed of 65mph. How fast is the distance between the automobile and the

  1. Trigonometry

    A plane is observed approaching your home and you assume its speed to be 550 miles per hour. The angle of elevation of the plane is 16 degrees and one minute later is 57 degrees. Approximate the altitude of the plane. Draw

  2. algebra

    Write a function that models the following description: A man drove a total of 40 miles over a 2-hour period.

  3. math

    Hannah took a trip yo visit her cousin. She drove 120 miles to reach her cousin's house and the same distance back home. a) It took her 1.2 hours to get halfway to her cousin's house. What was her average speed, in miles per hour,

  4. Math

    Ethan drove his car to his grandparents’ house at a steady rate of 54 miles per hour. The table shows the distance Ethan had driven based on the time that had passed. 1/2(hours)=27(distance) 1(hours)=54(distance) 1

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