Question

you travel 10 mi on your bicycle in the same amount of time it takes to travel 8 mi on his bicycle. If your friend rides his bike 2mi/h slower than you ride your bike, FIND THE RATE at which each of you is traveling

Answer 1

Let r = your speed, so your friend is going r-2 mph

Equation for your speed/distance

d = rt

10 = r*t

r = 10/t

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Equation for your friend's speed and distance

d = rt

8 = (r-2)t

8 = (10/t - 2)t

8 = 10 - 2t

keep going to solve for t

once you find t, use it in r = 10/t to find r