math

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. 👍
  2. 👎
  3. 👁
  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. 👍
    2. 👎
  2. i used the quadratic formula and i got
    eastbound plane is 643.93
    northbound plane is -693.93

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    a car travellind due north at 60 km/hr increased its velocity to 80 m/s due north in 20 second.draw the spped adainsts time graph

  2. maths

    Two planes leave an airport flying at the same rate.If the first plane flies 1.5 hours longer than the second plane and travels 2700 miles while the second plane travels only 2025 miles, for how long was each plane flying?

  3. 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?

  4. physics

    As a sailboat sails 51.5 m due north, a breeze exerts a constant force 1 on the boat's sails. This force is directed at an angle west of due north. A force 2 of the same magnitude directed due north would do the same amount of

  1. 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

  2. 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?

  3. trigonometry

    Two planes leave the same airport at the same time. one flies 20 degrees east of north at 500 mph. the second flies 30 degrees east of south at 600 mph. how far apart are the planes after 2 hours?

  4. Math 9

    2 planes leave the airport at the same time. Minutes later plane A is 70 miles due north of the airport. Plane B is 168 miles due East of the airport. How far apart are the 2 airplanes. ? I think 98 miles apart. Is that right?

  1. Math

    Two Planes leave an airport at the same time, one flying 300km/h and the other at 420km/h The angle between their flight paths is 75 degrees after three hours, how fart apart are they?

  2. Physics

    You are on a treasure hunt and your map says "Walk due west for 52 paces, then walk 29.6° north of west for 40 paces, and finally walk due north for 25 paces." What is the magnitude of the component of your displacement in the

  3. MATH

    Two planes leave an airport at the same time, one flying east, the other flying west.The eastbound plane travels 100 mph slower. They are 3040mi apart after 4hrs. find the speed of each plane

  4. Physics

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

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