Alg 2 hon

posted by .

An executive flew in the corporate to a meeting in a city 1500 km away. After traveling the same amount of time on the return flight, the pilot mentioned that they still had 300 km to go. The airspeed of the plane was 600 km/h. How fast was the wind blowing (assuming that the wind direction was parallel to the flight path and constant all day.)?

  • Alg 2 hon -

    Please show work...

  • Alg 2 hon -

    Please show us your thinking and problems if you have any.

  • Alg 2 hon -

    well i got this so far:
    total d = 1500 km
    total time to get to destination = t(subscript)1 which is also equal to time taken to travel 1200 km back home.

    Then I used d=rt formula,
    I tried 1500 = 600 (t(subscript)1)
    t(subscript)1=2.5hrs

    2.5hrs =1200 km on return flight

    1200r (2.5)
    r = 480km/h
    1500 = 480 t(subscript)2.

    that meant 600 - 480 would be 120 km/h but when i checked my answer, it said that the answer is 66 2/3 km/h... i am confused... PLZ HELP!!!

  • Alg 2 hon -

    66 2/3 is correct.
    You would want to denote the unknown by a variable name, say v for velocity of wind.

    The question stated that the time to travel 1500 km (with the wind) is the same as that required to travel 1200 km back (against the wind).

    Can you express the previous paragraph in terms of the wind velocity, v, the air speed of 600 km/h and the distances 1500 and 1200?

    If you can, solve it and you should get your required answer of 66 2/3. If not, post again.

  • Alg 2 hon -

    sry, I don't understand :[...

  • Alg 2 hon -

    "The question stated that the time to travel 1500 km (with the wind) is the same as that required to travel 1200 km back (against the wind). "

    Time to traval to destination
    = Distance / velocity
    = 1500 / (600 + v)

    Time to return (part of the way)
    = Dostance / velocity
    = ...

    Equate the two, since they are equal and solve for v.

    Can you take it from here?

  • Alg 2 hon -

    Oh... hold opn, let me try it!!! if I don't get it, I'll try to post what I did! if i do, then thanx!!

  • Alg 2 hon -

    THANK YOU SO MUCH!!!!

  • Alg 2 hon -

    I am sure you can. If not, post anyway. If I don't reply tonight, it will be tomorrow.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. College Algebra

    An executive flew in the corporate jet to a meeting in a city 1500 kilometers away. After traveling the same amount of time on the return flight, the pilot mentioned that they still had 300 kilometers to go. The air speed of the plane …
  2. Algebra: 8th Grade; Equation Check

    1) A private airplane leaves an airport and flies due south at 192 km/h. Two hours later a jet leaves at the same airport and flies due south at 960 km/h. When will the jet overtake the plane?
  3. Psychology

    Charlene flew to see her grandparents on a plane that was piloted by Janet Harris. When Charlene arrived they asked her how she enjoyed the flight. "It was a wonderful flight, and the pilot was very good. He was able to avoid turbulence." …
  4. Algebra 2

    The point of no return for an airplane, flying over water from point A on land to point B on land, is that distance into the trip for which it takes just as much time to go on to B as it does to return to A. The distance from San Francisco …
  5. College Algebra

    A jet flies from Atlanta to Dubuque a distance of 900 miles. After traveling the same amount of time on the return flight,the pilot mentioned they still had 150 miles to go. The airspeed of the plane was 300 miles per hour. How fast …
  6. Algebra

    An executive flew in the corporate jet to a meeting in a city 1700 kilometers away. After traveling the same amount of time on the return flight, the pilot mentioned that they still had 300 kilometers to go. The air speed of the plane …
  7. Physics

    1. A small plane can travel at 200 km/h in still air. If a 50.0 km/h wind is coming from the east, determine the ground velocity of the plane if the pilot keeps the plane pointed [N]. 2. A pilot is flying from City A to City B which …
  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. Algebra

    How do I solve this? A plane flying the 3458-mi from New York City to London has a 50-MPH tailwind. The flight's point of no return is the point at which the flight time required to return to New York is the same as the time required
  10. math

    Traveling from City 1 to City 2, a pilot planned a southeast course along the path labeled d. Instead, a storm forced the pilot to travel 16 miles south, then 12 miles east to reach City 2. How many extra miles was the pilot forced …

More Similar Questions