A word problem.

David flew 300km on a commuter plane, then 2000km on a passenger jet. The passenger jet flew twice as fast as the commuter plane. The total flying time for the journey was 3.25 hours. What was the speed of each plane, in kilometers per hour?

Please help. I've been trying to tackle this problem for an hour+ and had no luck solving it.

  1. 👍
  2. 👎
  3. 👁
  1. let the speed of the commuter plane be x km/h
    then the speed of the passenger jet is 2x km/h

    300/x + 2000/2x = 3.25
    300/x + 1000/x = 3.25
    1300/x = 3.25
    3.25x = 1300
    x = 1300/3.25 = 400

    so ......

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A jet plane traveling 1890 km/h (525 m/s ) pulls out of a dive by moving in an arc of radius 5.20 km What is the plane's acceleration in g's?

  2. MATH

    Travel Time A company president flew 680 miles one way in the corporate jet but returned in a smaller plane that could fly only half as fast. If the total travel time was 6 hours, find the speeds of the planes. how would I set up

  3. physics

    A navy jet with a weight of 231 kN requires an airspeed of 85 m/s for liftoff. The engine develops a maximum force of 107 kN, but that is insufficient for reaching takeoff speed in the 90 m runway available on an aircraft carrier.

  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. math

    word problem: Q1.there were 60 birds at three treesin some moment 6 birds flew away from the first tree,8 birds flew away from the second tree, and 4 birds flew away from the third tre. then there were same number of birds at each

  2. Mathematics

    An aeroplane flew from a town g to another town h on a bearing of 150. The distance between g and h is 300km. It then flew a distance of 450km to a town j on a bearing of 060 calculate the distance from g to j, how far north of h

  3. Math

    Plane A leaves the airport. One hour later, Plane B leaves the same airport on the same course. It catches up to Plane A in 2.5 hours. The average speed of Plane B is 300km/h faster than Plane A. Find the speed of each plane.

  4. Algebra II

    An air show is scheduled for an airport located on a coordinate system measured in miles. The air traffic controllers have closed the airspace, modeled by a quadratic equation, to non-air show traffic. The boundary of the closed

  1. Physics

    a jet plane starts from rest with an acceleration of 3 m/s^2 and makes a run for 35 sec before taking off .What is the minimum length of the runway and what is the velocity of the jet at the take off ?

  2. physics

    When a jet lands on an aircraft carrier, a hook on the tail of the plane grabs a wire that quickly brings the plane to a halt before it overshoots the deck. In a typical landing, a jet touching down at 240 km/h is stopped in a

  3. Math

    A commuter plane flies from City A to City B, a distance of 90 mi due north. Due to bad weather, the plane is redirected at take-off to a heading N 60° W (60° west of north). After flying 57 mi, the plane is directed to turn

  4. physics

    A bomber drops a bomb from an aircraft flying at 2000Km/h with an altitude of 7 Km. The speed at which the bomb will strike the earth would be. a) Greater than 2000Km/h b) Less than 2000 Km/h c) Equal to 2000 Km/h d) Can not

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