Questions on Geometry: Length, distance, coordinates, metric length answered by real tutors!

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Question 166795: two cyclists start from the same point and ride on opposite directions/ One cyclist rides twice as fast as the other. On three hours they are 90 km apart. What is the rate of each cyclist?: two cyclists start from the same point and ride on opposite directions/ One cyclist rides twice as fast as the other. On three hours they are 90 km apart. What is the rate of each cyclist?
Answer by Mathtut(1334) About Me  (Show Source):
You can put this solution on YOUR website!
distance = rate*time
lets call one cyclist d1=r1(t1)
and the other cyclist d2=r2(t2)
t1=t2=3hours
d2=90-d1
r1=2(r2)---->r1/2

so d1=r1(3)
and 90-d1=r2(3)
substitute value of d1 into 2nd equation and remember r2=r1/2
90-(3(r1))=((r1)/2)(3)---->90-3(r1)=3/2(r1)----->180-6(r1)=3(r1)--->9(r1)=180
r1=20kmph
r2=10kmph