Algebra

An airplane traveled 1092 miles with a tailwind, turned around and returned 1092 miles against the same wind to its starting point. The trip with the wind took 6hrs and the return flight against the wind took 8hrs. Find the speed of the plane and the wind.

dealing w/- subst. and elimin.

  1. 👍
  2. 👎
  3. 👁
  1. let the speed of the plane in still air be x mph
    let the speed of the wind by y mph

    6(x+y) = 1092
    8(x-y) = 1092

    divide the first equation by 6, then second by 8, then add them
    looks quite easy

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    A small jet can fly 1008 miles in 4 hours with a tailwind but only 832 miles in 4 hours into a headwind. Find the speed of the jet in still air.

  2. Trigonometry

    a boat travels on a course of bearing n 37 10' W for 79.5 miles. How many miles north and how many miles west has the boat traveled?

  3. Math

    How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon of gas? 43 miles 270 miles 495 miles 420 miles can someone help me understand how to do this problem i dont know how, after can you check my

  4. Math

    A car traveled 36 miles in 45 minutes, the car traveled at a constant speed. If the the car continues to travel at this rate, which equation can be used to determine y, the total number of miles the car will travels in x hours?

  1. math

    Two hikers started at the same location. One traveled 2 miles east and then 1 mile north. The other traveled 1 mile west and then 3 miles south. At the end of their hikes, how many miles apart are the two hikers?

  2. Friction

    A 200kg crate us pushed horizontally with a force of 700 N. If the coefficient of friction is 0.20, calculate the acceleratio of the crate. I tried doing this but I don't seem to be getting the right answer. m = 200 kg f(app)= 700

  3. Algebra

    The scale of a map is 1 inch = 30 miles. How many actual miles does 5.25 inches represent? A) 157.5 Miles B) 175 Miles C) 1,575 Miles D) 1,750 Miles Please help me someone!

  4. math

    A woman drove to work at an average speed of 40 miles per hour and returned along the same route at 30 miles per hour. If her total traveling time was 1 hour, what was the total number of miles in the round trip?

  1. math

    An airplane is 120 miles north and 85 miles east of an airport. Find the bearing from the airplane to the airport (round to 1 decimal place)?

  2. Math :(

    The scale of a map is 1 inch + 25 miles. How many miles does 1.25 inches represent? 25 miles 31.25 miles 62.5 miles 49.25 miles

  3. Math

    An airplane travels 226 miles in two hours at that rate how far with the airplane travel in eight hours and 56.5 miles be 904 miles C 1356 miles D 1808 miles

  4. Trig.

    An airplane flying at 600 miles per hour has a bearing of 52 degrees. After flying for 1.5 hours, how far north and how far east will the plane have traveled from point of departure? (I'm not sure how to convert miles into degrees

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