Ask questions and get helpful answers.
Ask a New Question
  1. Questions
  2. Physics

Runner A is initially 6.0 km west of a flagpole and is running with a constant velocity of 9. km/h due east. Runner B is initially 5.0 km east of the flagpole and is running with a constant velocity of 8.0 km/h due west. How far are the runners from the flagpole when their paths cross?

I did it this way.
time for A to get to the flag pole is t = d/r = 6/9 = 0.667 hour.

time for B to get to the flag pole is t = d/r = 5/8 = 0.625 hour.

That means runner B gets to the flag pole first and will still be running west BEFORE runner A gets to the flag pole. Thus, runner B will run the 5 km + a distance x and runner A will run 6 - x. Setting that up.
Runner A. t = (6-x)/9
Runner B. t = (5+x)/8.
Now set the times equal and solve for x.
(6-x)/9 = (5+x)/8

Their paths will cross at 6 km - x km and 5 km + x km.
x is the distance from the flag pole when their paths cross.

I hope this helps.

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
Lori
3 answers

  1. is it 0.176

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    vv

  2. yes, it is

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Rain

  3. Mate what.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Bob

Answer this Question

Similar Questions

  1. math

    A cable 20 feet long connects the top of a flagpole to apoint on the ground that is 16 feet from the base of the pole.how tall is the flagpole? (A) 26ft (B) 10ft (C)12ft (D)8ft..

  2. algebra 2

    a flagpole casts a 60 foot shadow when the angle of elevation of the sun is 35 degrees. find the height of the flagpole

  3. Trig(Check the answer)

    A Flagpole casts a 60 foot long shadow on the ground. The angle from the tip of the flagpole to the end of the flagpole's shadow measures 35 degrees. How tall is the flagpole? can i use cos(55degrees) = 60/h which gives me 104.61. Please check. Thanks!

  4. physics

    a 900 N running back moving at 2.0 m/s is stoppped in 0.70 seconds when hit by a lineback. What average foarce did the linebacker exert on the running back? How much did the running back's momentum change?

  5. Math

    Jess is running around a circular track, one lap every 40 seconds. Mackenzie is also running at a constant speed around the same track, but in the opposite direction. They meet every 15 seconds. How many seconds does it take Mackenzie to do one lap?

  6. math

    a. running track has a perimeter of 800*1/4meters if a runner takes five round of it how much distance did he cover?

  7. physics

    You are playing right field for the baseball team. Your team is up by one run in the bottom of the last inning of the game when a ground ball slips through the infield and comes straight toward you. As you pick up the ball 62 m from home plate, you see a

  8. physics

    a 60-kg patient exercise on the treadmill, exerting a constant force of 500N while running at a constant velocity of 4 m/s at an angle of 30 for 5 minutes. the coefficient of kinetic friction of the treadmill os 0.45. determine the work done by the

  9. physics

    A 65.0-kg runner has a speed of 5.20 m/s at one instant during a long-distance event. (a) what is the runner's kinetic energy at this instant? (b) if he doubles his speed to reach the finish line, by what factor does his kinetic energy change

  10. Physics

    Runner A is initially 7.0 km west of a flagpole and is running with a constant velocity of 6.5 km/h due east. Runner B is initially 8.0 km east of the flagpole and is running with a constant velocity of 7.5 km/h due west. How far are the runners from the

Still need help?

You can ask a new question or browse existing questions.