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Issac and Blaise decide to race. They both start at the same position at the same time. Issac runs at 2m/s but decides to take a 2 minute rest stop along the way. Blaise runs at half the speed and still wins by 10 m. How far did Blaise run? Please show your work, it’ll greatly help with my understanding. I know I have to do some substitution with equations, but I don’t have a final length of the race, or final time, so I have no idea where to start.

Respuesta :

Let the Blaise runs for time "t" to complete the race

so the total distance he moved is given by

[tex]d_1 = 1* t[/tex]

Now Issac runs for time t = "t - 2*60"

because it took rest for 2 minutes

[tex]d_2 = 2*(t - 120)[/tex]

now it is given that Blaise wins by 10 m distance

[tex]d_1 - d_2 = 10[/tex]

[tex]1* t - 2*(t - 120) = 10[/tex]

[tex]t - 2t + 240 = 10[/tex]

[tex]t = 230 s[/tex]

now the distance moved by Blaise is given by

[tex]d_1 = 1*230 = 230 m[/tex]

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