math

posted by .

2 airplanes start at the same time from airports 500 km apart. Each flies with an airspeed of 200 km/hr toward the other airport. One reaches its airport half an hour before the other plane reaches the other airport. How fast is the wind blowing?

  • math -

    let the windspeed be x km/h

    time going with the wind = 500/(200+x)
    time going against the wind = 500(200-x)
    the difference in those times = 1/2 hr

    500/(200-x) - 500/(200+x) = 1/2
    times 2(200-x)(200+x)

    1000(200+x) - 1000(200-x) = (200-x)(200+x)
    200000 + 1000x - 2000000 +1000x = 40000 - x^2
    x^2 + 2000x - 40000 = 0
    using the quadratic formula, I got
    x = 19.8 or an unreasonable 2nd answer

    the windspeed is 19.8 km/h

  • math -

    dadsasdadssadsad

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    an airplane flying due east at 400 km/h pasess over an airport 12 minutes before a second plane flying south 30 degrees west at 500 km/h.if the airplanes are at the same altitude how fast will they by seprating when the seccong pane …
  2. Calculusss ( pleassee someboddy heelp )

    an airplane flying due east at 400 km/h pasess over an airport 12 minutes before a second plane flying south 30 degrees west at 500 km/h.if the airplanes are at the same altitude how fast will they by seprating when the seccong plane …
  3. Math

    Two airplanes at 25,000 ft above the ground are flying toward the same airport.Airplane A is flying due south towards the airport at 200 miles per hour.At 10:00 AM Airplane A is 700 miles from the airport,and Airplane B is 925 miles …
  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. ?
  5. Math

    A plane flies due east for 120 km from airport a to airport b it then flies due north for 280 km to airport c finally it flies directly back to airport a calculate the direct distance from airport to airport a give your answer to the …
  6. trig

    Two Airplanes leave an airport at the same time on different runways. One flies on a bearing of N66degreesW at 325 miles per hour. The other airplane flies on a bearing öf S26degreesW at 300 miles per hour. How far apart will the …
  7. math

    two airplanes travelling in opposite directions , leave an airport at the same time. if one plane averages 480 ml/hr and the other averages 520 ml/hr, how long will it take before they are 2000 ml apart?
  8. Trigonometry

    two airplanes leave an airport at the same time one hour later they are 189km/hr apart. if one plane traveled 168km/hr and the other traveled 244km/hr for the hour what is the angle between their flight path
  9. Maths

    A plane setts off from airport A and flies due east for 100 km, then turns to fly due south for 80 km before landing at an airport b show that the approximate bearing of airport b from airport a is 129
  10. math

    two airplanes depart simultaneously from an airport.One flies due south, the other flies due east at a rate 20 mi/h faster than that of the other airplane. After one hour , radar indicates that the airplanes are approximately 450 mi …

More Similar Questions