Algebra Word Problems

Question

Pedro can drive 2 times as fast as Pablo can ride his bicycle. If it takes Pablo 2 hours longer than Pedro to travel 72 miles, how fast can Pablo ride his bicycle?

Answer 1

v1=2v2, v1 Pedro's riding speed, v2 Pablo's speed. If it takes t hours Pedro to travel 72 hours, then t+2 hours.

v1=72/t, v2=72/(t+2)

v2=36/t,

t=36v2

36/t=72/(t+2)

1/t=2/(t+2)

t+2=2t, t=2

So

v2=72/4=18mph