Post a New Question

Math

posted by .

Against the wind, a small palne flew 900 miles in 9 hours. The return trip took only 5 hours. What was the speed of the wind ?

  • Math -

    Vp- Vw = 900mi / 9h = 100mi/h.
    Vp + Vw = 900mi / 5h = 180mi/h.

    Eq1: Vp - Vw = 100.
    Eq2: Yp + Vw = 180.
    Multiply both sides of Eq1 by (-)1:
    -Vp + Vw = -100
    Vp + Vw = 180
    Sum: 2Vw = 80,
    Vw = 40mi/h.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Matt and Anna are frequent fliers on Fast n Go Airplanes. They often fly between two cities that are a distance of 1680 miles apart. On one particular trip, they flew into the wind and the trip took 4 hours. the return trip with the …
  2. MATH

    Matt and Anna are frequent fliers on Fast n Go Airplanes. They often fly between two cities that are a distance of 1680 miles apart. On one particular trip, they flew into the wind and the trip took 4 hours. the return trip with the …
  3. Algebra

    Beth is a bush pilot in Alaska. On a recent trip, she flew 600 miles with a tail wind in four hours. On the return trip, it took five hours to fly the 600 miles against the wind. Find the speed of the plane with no wind. Could you …
  4. algebra II

    An aircraft flew 6 hours with the wind. The return trip took 7 hours against the wind. If the speed of the plane in still air is 276 miles per hour more than the speed of the wind, find the wind speed and the speed of the plane in …
  5. repost math question

    An aircraft flew 6 hours with the wind. The return trip took 7 hours against the wind. If the speed of the plane in still air is 276 miles per hour more than the speed of the wind, find the wind speed and the speed of the plane in …
  6. math

    In a storm, a plane flew against the wind and took 9 hours to cover 3,600 miles. The return trip, traveling with the wind, took 1 hour less. find the air speed of the plane, and the speed of the wind.
  7. Algebra

    bicyclist rides 30 miles against a wind and returns 30 miles with the wind. his average speed for the return trip is 5mph faster. how fast did the cyclist ride against the wind if the total time of the trip was 5 hours
  8. Algebra

    A pilot flew a 400-mile flight in 2.5 hours flying into the wind. Flying the same rate and with the same wind speed, the return trip took only 2 hours, with a tailwind. What was the speed of the wind?
  9. Math

    an aircraft flew 2 hours with the wind. the return trip took 3 hours against the wind. if the speed of the plane in still air is 140 miles per hour more than the speed of the wind, find the wind speed and the speed of the plane in …
  10. Math

    the jetstream is a strong wind current that flows across the united states. flying with the jetstream, a plane flew 3,000 miles in 5 hours. Against the same wind, the trip took 6 hours. Find the airspeed of the plane (the speed in …

More Similar Questions

Post a New Question