math

an ultralight plane had been flying for 40 min when a change of wind direction doubled its ground speed. the entire trip of 160miles took 2h. how far did the plane travel during the first 40 min?

Let V be the initial ground speed and 2V be the final ground speed, in miles per minute.
The length of time travelled at the higher speed was 120 - 40 = 80 minutes
Total distance travelled =
160 = 40 V + 80*(2V) = 200 V
V = 0.8 miles/minute
Inital distance travelled at velocity V = 0.8 miles/min* 40 min = 32 miles
Final distance travelled at velocity 2V = 80*1.6 = 128 miles

  1. 👍 0
  2. 👎 0
  3. 👁 302
asked by suzy

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    A small plane flying into the wind takes 3h 20 min to complete a flight of 960 km.Flying with the wind, the same plane takes 2h 30 min to make the trip. What is the speed of the plane? What is the speed of the wind? can you plz

    asked by gagan on January 22, 2009
  2. math

    a small plane flying into the wind takes 3 hrs 20 min to complete a flight of 960 km. Flying with the wind the same plane takes 2 h 30 min to make the trip.what is the speed of the plane? what is the speed of the wind? can u plz

    asked by helpyyy on September 23, 2010
  3. math

    a small plane flying into the wind takes 3 hrs 20 min to complete a flight of 960 km. Flying with the wind the same plane takes 2 h 30 min to make the trip.what is the speed of the plane? what is the speed of the wind?

    asked by mathhy on September 22, 2010
  4. Math

    A small plane flying into the wind takes 3h 20 min to complete a flight of 960 km.Flying with the wind, the same plane takes 2h 30 min to make the trip. What is the speed of the plane? What is the speed of the wind?

    asked by gagan on January 22, 2009
  5. Honors Trig.

    A plane is flying at a speed and direction of 550 mph, 25 degrees north of west. There is a wind of 28 mph, at an angle of 19 degrees south of the east direction. How fast is the plane actually flying? What direction is the plane

    asked by Ashley on April 29, 2012
  6. Math

    Me, again... Please help me. Thank you. Assume a plane is flying directly north at 200 mph, but there is a wind blowing west at 23 mph. Part I: Express both the velocity of the plane and the velocity of the wind as vectors, using

    asked by Lizzie098 on January 8, 2014
  7. PreCalc - Vectors

    An airplane is flying with an airspeed of 660 Kilometers per hour. The wind is blowing from 345 degrees at 35 km/h. What direction should the airplane take so that, with the wind, the plane will be flying in a direction of 72

    asked by Joe on May 3, 2011
  8. 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

    asked by Jada on October 15, 2014
  9. Math Ms. Sue please help

    Flying to Kampala with a tailwind a plane average 158km/h. On the return trip the plane only averaged 112km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.

    asked by Anonymous on February 28, 2013
  10. 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

    asked by Barb on December 6, 2014

More Similar Questions