College Algebra

An executive flew in the corporate jet to a meeting in a city 1500 kilometers away. After traveling the same amount of time on the return flight, the pilot mentioned that they still had 300 kilometers to go. The air speed of the plane was 600 kilometers per hour. How fast was the wind blowing? (Assume that the wind direction was parallel to the flight path and constant all day).

  1. 👍
  2. 👎
  3. 👁
  1. The problem isn't clear if the wind was blowing on the first part of the trip. I have assumed it was not.
    distance = rate x time or
    time = d/r
    For the trip out, we have time = 1500/600
    For the trip back we have 1200/r. The times are the same so we set them equal.
    1500/600 = 1200/r
    solve for r. I have 480 km/hr so the wind must have been blowing 600-48- = 120 km/hr.
    You can check this by checking the time.
    time for trip out is 1500/600 = 2.5 hrs.
    time for trip back is 1200/480 =2.5 hrs.

    If the wind blew on the way out you must make some adjustments to the above.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    An airplane flies from City A in a straight line to City B, which is 70 kilometers north and 140 kilometers west of City A. How far does the plane fly?

  2. general math

    The base jeepney fare is PHP 8.00 for the first four kilometers and an additional PHP 1.50 per kilometers for the succeeding kilometers, express the fare for x kilometers as a function of x. please help me and kindly put the

  3. Civics

    The _______ form of city government merges executive and legislative functions in a single group of officials. A. township B. commission C. mayor-council D. city manager C?

  4. physics

    An airplane flies 200km due west from city A to city B and then 305km in the direction of 33.5 degrees north of west from city B to city C. a.) in straight-line distance, how far is city C from city A? b.) relative to city A,in

  1. Math

    An executive drove from home at an average speed of 40 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 80 mph. The entire distance was

  2. physics

    An airplane flies 200 km due west from city A to city B and then 270 km in the direction of 31.0° north of west from city B to city C. (a) In straight-line distance, how far is city C from city A? (b) Relative to city A, in what

  3. Math

    A plane flew an estimated distance of 800 kilometers. The greatest distance the plane could have flown is

  4. College Physics

    An airplane flies 200 km due west from city A to city B and then 240 km in the direction of 31.0° north of west from city B to city C. (a) In straight-line distance, how far is city C from city A? (b) Relative to city A, in what

  1. pre-calculus

    A developer wants to build homes on a rectangular plot of land 4 kilometers long and 3 kilometers wide. In this part of the city, regulations require a greenbelt of uniform width along two adjacent sides. The greenbelt must be 10

  2. College algebra

    how do you find the population (in thousands) of people of a city is growing according to the function P(t)=1500(2)^0.144t, where t is the number of years since 2001. I need to find the population of the city in 2001 and in 2008.

  3. distance

    An executive drove from home at an average rate of speed of 30 mph to an airport where a helicopter was waiting. The executive boarded the helicopter and flew to the corporate offices at an average speed of 60 mph. The entire

  4. College Algebra

    Ozone occurs at all levels of Earth's atmosphere. The density of ozone varies both seasonally and latitudinally. At a given city, the density D(h) of ozone (in 10^−3cm/km) for altitudes h between 20 kilometers and 35 kilometers

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