Algebra

posted by .

Flying with the wind, a small plane flew 360 miles in 2hours. Against the wind, the plane could fly only 300 miles in the same amount of time. Find the rate of the plane in calm air and the rate of the wind.
I cant figure out how to solve this. Please help me

  • Algebra -

    use variables p for plane and w for wind and the equations:

    (p+w)x 2hours = 360 miles
    (p-w)x 2hours = 300 miles
    divide by 2

    p+w=180
    p-w=150
    combine the two equations so w cancels

    2p = 330
    divide by 2 to get the speed of the plane.

    p=165
    put the plane back into the equation to get the rate of the wind

    165+w = 180
    w = 15m/h

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. College Math

    Im having a hard time trying to figure out how to do this problem: A plane can fly 150 mph in calm air. Flying with the wind, the plane can fly 350 mi in the same amount of time it takes to fly 250 mi against the wind. Find the rate …
  2. Algebra

    Flying with the wind, a small plane flew 360 miles in 2hours. Against the wind, the plane could fly only 300 miles in the same amount of time. Find the rate of the plane in calm air and the rate of the wind. I cant figure out how to …
  3. Math

    A plane can fly 140 mph in calm air. Flying with the wind, the plane can fly 700 mi in the same amount of time it takes to fly 420 mi against the wind. Whats the rate of the wind?
  4. Algebra 1B

    it took a small plane 3 hours more to fly 475 miles against the wind than it took the same plane to fly the same distance with the wind. the rate of the wind was 15 mph find the rate of the plane in calm air
  5. Algebra 2

    Flying with the wind, a small plane flew 332 mi in 2 h. Flying against the wind, the plane could fly only 318 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind
  6. algebra

    Flying with the wind, a plane traveled 390 miles in 3 hours. Flying against the wind, the plane traveled the same distance in 5 hours. Find the rate of the plane in calm air and the rate of the wind. rate of plane ?
  7. algebra

    Flying with the wind, a plane traveled 570 miles in 3 hours. Flying against the wind, the plane traveled the same distance in 5 hours. Find the rate of the plane in calm air and the rate of the wind. Rate of plane ______mph Rate of …
  8. math

    Flying with the wind, a plane traveled 570 miles in 3 hours. Flying against the wind, the plane traveled the same distance in 5 hours. Find the rate of the plane in calm air and the rate of the wind. Rate of plane ______mph Rate of …
  9. math

    Flying with the wind, a plane traveled 570 miles in 3 hours. Flying against the wind, the plane traveled the same distance in 5 hours. Find the rate of the plane in calm air and the rate of the wind. Rate of plane ______mph Rate of …
  10. Algebra

    A plane has a cruising speed of 100 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind.

More Similar Questions