# math

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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.

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