math

posted by .

Jon and Remy were in a car race. When Jon finished the race in 45min, Remy had only driven 2/3 of the distance. Remy's average speed for the race was 50m/min less than Jon's.
a) Find the distance of the race.
b) What was Remy's speed?

  • math -

    REMY
    Speed = X m/min.
    d = X * 45 m.

    JON
    Speed = (X-50) m/min.
    2d/3 = (x-50)*45.
    Multiply both sides by 3/2:
    d = 67.5(X-50).
    Substitute 45x for d:
    45x = 67.5x - 3375.
    45x - 67.5x = -3375.
    -22.5x = - 3375.
    b. X = -3375 / -22.5 = 150 m/min = 150m/60s = 2.5 m/s = Remy's speed.

    a. d = 45x = 45min * 150m/min = 6750 m.

  • math -

    Thank you.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Ted and Ben took part in the same race. When Ted finnished the race in 25 min., Ben had only run 5/8 of the distance. Ben's average speed was 75m/min SLOWER than Ted's. What is Ted's average running speed?
  2. 7th grade math

    After 1 hour,Jon had finished 5/9 of a long-distance race, and Ling had finished 7/9 of it. At that time, who had finished a greater fraction of the race, and by how munch.
  3. Physics

    Jon is attempting to swim straight across a swift flowing river that is 30 meters wide. Jon can swim at 5 m/s relative to the water. The current is moving at 7 m/s and Jon makes no correction for the current. How far downstream does …
  4. math

    Jon and Anne had an equal aount of money. Jon spent $10. Anne spent $30. Now Jon has 2x as much as Anne. How did they each have at 1st?
  5. Physics

    A competitor is aiming to complete a 1500m wheel-chair race in less than 4 min. After moving at a constant speed for exactly 3.5 min, there were still 240m to go. What must his acceleration be for the remaining distance if he were …
  6. math

    The students in Mr. Stevens class are having a turtle race. The race will last 2 minutes. Find the distance from the start each turtle will be at the of the race.Rex 1/6 speed (in inches per second).Whatwas the distance at the end …
  7. math

    The students in Mr. Stevens class are having a turtle race. The race will last 2 minutes. Find the distance from the start each turtle will be at the of the race.Rex 2/3 speed (in inches per second).Whatwas the distance at the end …
  8. algebra1

    a cyclist completes a 150-mile race in a certain amount of time.she completes another 150-mile race a month later,but this time it takes an hour longer to cover the same distance and her average speed is 5 mph less than in the first …
  9. Math

    In an automobile race, the rate of one car was 120 mi/hr and the rate of another was 105 mi/hr. If the faster car finished the race 20 minutes before the slower one, what was the distance of the race?
  10. Algebra

    In an automobile race, the rate of one car was 120 mi/hr and the rate of another was 105 mi/hr. If the faster car finished the race 20 minutes before the slower one, what was the distance of the race?

More Similar Questions