An airplane can travel 380 miles into the wind in the same time that it can travel 420 miles with the wind. If the wind speed is 10 miles per hour, find the speed of the airplane without any wind.

Is this correct:
-420x -420x
+3800 +3800

is 200 miles the answer?

  1. 👍 0
  2. 👎 0
  3. 👁 278
  1. *I have a correction:


    1. 👍 0
    2. 👎 0
  2. t (v-10) = 380
    t(v+10) = 420

    380/(v-10) = 420/(v+10)
    so I get
    380(v+10) = 420(v-10) yes agree

    40 v = 8000
    v = 200 miles/hour

    1. 👍 0
    2. 👎 0
  3. Thanks

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    A airplane crosses the Atlantic Ocean (3000 miles) with an airspeed of 600 miles per hour. The cost C (in dollars) per passenger is given by... C(x)= 150 + x/20 + 36,000/x Where x is the ground speed (airspeed plus or minus wind).

  2. math

    An airplane leaves Atlanta at 2 PM and flies north at 250 miles per hour. A second airplane leaves Atlanta 30 minutes later and flies north at 280 miles per hour. At what time will the second airplane overtake the first? Answer

  3. algebra

    A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the

  4. 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.

  1. Trigonometry

    An airplane is headed on a bearing of 140° with an air speed of 500 miles per hour. The course has a bearing of 128°. The ground speed is 580 miles per hour. Find the drift angle, the wind direction, and the wind speed.

  2. Math

    An airplane crosses the Atlantic Ocean​ (3000 miles) with an airspeed of 600 miles per hour. The cost C​ (in dollars) per passenger is given by C(x)=150+x/20+36,000/x What is the cost per passenger for quiescent​ (no

  3. Algebra

    This is soooo confusing! An airplane flies from New Orleans, Louisiana, to Atlanta, Georgia, at an average rate of 320 miles per hour. The airplane then returns at an average rate of 280 miles per hour. The total travel time is 3

  4. Trigonometry

    An airplane is sighted at the same time by two ground observers who are 2 miles apart and both directly west of the airplane. They report the angles of elevation as 11˚ and 20˚. How high is the airplane? Round to the nearest

  1. english

    4. Which of the following sentences contains “passive voice?” (Points : 1) The airplane was wrecked by the wind. The wind wrecked the airplane. The cat chased the mouse. The bird flew after the balloon. a, b, c

  2. math

    A pilot can travel 400 miles with the wind in the same amount of time as 336 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 230 miles per hour.

  3. Algebra

    An air plane can travel 560 miles per hour with the wind and 480 miles per hour against the wind. Determine the speed of the plane in still air and the speed of the wind.

  4. algebra

    A boat can travel 38 mph in still water. If the boat can travel 100 miles with the current in the same time it can travel 80 miles against the current, find the rate of the current r in miles per hour.

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