Two planes leave simultaneously from Chicago's O'Hare Airport, one flying due north and the other due east. The northbound plane is flying 50 miles per hour faster than the eastbound plane. After 3 hours the planes are 2840 miles apart. Find the speed of each plane. (Round your answers to the nearest whole number.)

  1. 👍 0
  2. 👎 0
  3. 👁 1,138
  1. let speed of slower plane be x mph
    speed of faster plane = x+50 mph
    After 3 hours they will have gone 3x and 3x+150 miles respectively,
    and their flightpaths will form a right-angled triangle so that

    (3x)^2 + (3x+150)^2 = 2840^2

    Simplify and solve this quadratic using your favourite method.
    Make sure to dismiss the negative answer and use only the positive one.
    Let me know what you get

    1. 👍 0
    2. 👎 0
  2. i used the quadratic formula and i got
    eastbound plane is 643.93
    northbound plane is -693.93

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    a plane flying due north at 100 m/s is blown by a. 50 m/s strong wind due east. b. what is the plane's resultant velocity?

  2. Physics

    6m due south,10m due east and 5m due north. Find the distance traveled and the displacement of the vector

  3. Math

    Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The speed of one of the planes was 200 km/hour slower than the speed of the other plane, and so it arrived

  4. Physics

    The initial velocity, the final velocity, and the time are given. Using one of the equations of kinematics, you can calculate the displacement directly. An airplane starts from rest and reaches a takeoff velocity of 60.0 m/s due

  1. Math

    An airplane is flying 100 km north and 185 km west of an airport. It is flying at a height of 7 km A) what is the straight long distance to the airport? B) what is the angle of elevation of the airplane, from the point of view of

  2. Math

    Two cyclists leave from an intersection at the same time. One travels due north at a speed of 18mph, and the other travels due east at 24mph. how long until the distance between them is 150 miles?


    Two planes fly from toronto to philadelphia. Plane a flies via pittsburgh whereas passenger on plane B have a direct flight. Pittsburgh is 350km due south of Toronto and 390km due west of Philadelphia. The airspeed of both planes

  4. physics

    Calculate the resultant force when four forces of 30N due east 20N due north 50N due West and 40N due south are acted upon a body

  1. Physics

    A taxicab moves 5 blocks due north, 5 blocks due east, and another 2 blocks due north. Assume all blocks are of equal size. What is the magnitude of the taxi's displacement?

  2. Math

    An airplane needs to head due north, but there is a wind blowing from the southwest at 85 km/hr. The plane flies with an airspeed of 550 km/hr. To end up flying due north, how many degrees west of north will the pilot need to fly

  3. Math 11

    An airplane is flying 100 km north and 185 km west of an airport. it is flying at a height of 7 km. A) what is the straight-line distace to the airport? B) what is the angle of elevation of the airplane, from the point of view of

  4. physics

    while flying due west at 1.20 x 10^2 km/h, an airplane is blown due north at 45.0 km/h by the wind. What is the magnitude and direction (relative to 000) of the plane's resultant velocity in km/h?

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