3. Bob Baffert hos iwo thoroughbred horses in his bom that he brings out
every morning to train for the upcoming rocos. Hoppertunity is a horso
training for a 2.400 meter race and Dortmund is a horse training for an
1,800 meter race. In a given workout, Hoppertunity and Dortmund start
running at the same time. Dortmund runs twice as fast at Hoppertunity:
however, Hoppertunity starts 200 meters ahead of Dortmund. After 12.5
seconds, Dortmund catches up with Hopperlunily.
Letr represent Hoppertunity's rate, Match expressions to the boxes and
symbols to the circles to create an equation that can be used to find the
rate at which Hoppertunity runs. Not all expressions and symbols will be
used, and you may use an expression and/or symbol twice.
2r
2
12.5
15
200
400
000000000 3

3 Bob Baffert hos iwo thoroughbred horses in his bom that he brings out every morning to train for the upcoming rocos Hoppertunity is a horso training for a 240 class=

Respuesta :

Answer:

12.5r + 200 = 12.5*2r

Step-by-step explanation:

Given

Rate of Hoppertunity = r

Rate of Dortmund = 2r as it is twice as fast

Solution

Let the distance Hoppertunity runs be d, then the distance Dortmund runs is d + 200 m

Since it took 12.5 seconds Dortmund to catch Hoppertunity, it can be expressed as:

  • d = 12.5r for Hoppertunity
  • d + 200 =12.5*2r for Dortmund

By replacing d in the second equation, we get:

  • 12.5r + 200 = 12.5*2r

Soving:

  • 12.5r = 200
  • r = 200/12.5
  • r = 16 m/sec

Hoppertunity's rate is 16 m/sec

Dortmund's rate is 32 m/sec