Bus 1 and Bus 2 run between cities A and B. Bus 1 leaves city A at the same time Bus 2 leaves city B,
each at a constant rate of speed. Their first meeting is 60 miles from city A. After reaching their
respective destinations and immediately turning around, their second meeting is 30 miles from city B.
What is the distance in miles between city A and city B? Choose one
A) 90  B) 120  C) 125  D) 150  E) 180
let d=distance between cities A and B   bus 1 distance to first meeting=60 miles   bus 1 distance from first to second meeting=(d-60)+30=d-30 miles   bus 2 distance to first meeting=d-60 miles   bus 2 distance from first to second meeting=60+(d-30)=d+30 miles   because both buses take the same time for the pre-meeting leg, and   the same time for the inter-meeting leg, and their speeds remain   constant, their ratios between pre-meeting distance and inter-meeting   distance should be the same   therefore, 60/(d-30)=(d-60)/(d+30)   d^2=150d   d=150 miles   150
<result>D</result>
Bus 1 and Bus 2 run between cities A and B. Bus 1 leaves city A at the same time Bus 2 leaves city B,
each at a constant rate of speed. Their first meeting is 60 miles from city A. After reaching their
respective destinations and immediately turning around, their second meeting is 30 miles from city B.
What is the distance in miles between city A and city B?