Test: Distance/Rate Problems - GMAT MCQ

A bus trip of 450 miles would have taken 1 hour less if the average speed S for the trip had been greater by 5 miles per hour. What was the average speed S, in miles per hour, for the trip?

A new skyscraper has 172 floors. Tom is in an elevator on the 169th floor going down at a rate of 16 floors per minute and James is in an elevator on the 13th floor going up at a rate of 10 floors per minute. If Tom and James make no stops along the way, what floor will they meet on?

Car A is 20 miles behind Car B, which is traveling in the opposite direction along the same route as Car A. Car A is traveling at a constant speed of 65 miles per hour and Car B is traveling at a constant speed of 55 miles per hour. Approximately how many minutes will it take for Car A and B be on a 20 miles distance from each other again?

John drove on a highway at a constant speed of r miles per hour in 13:00. Then, 2 hours later, Tom drove on the same highway at a constant speed of 4r/3 miles per hour in 15:00. If both drivers maintained their speed, how many did John drive on a highway, in miles, when Tom caught up with John?

Train X and train Y pass one another traveling in opposite directions. Forty minutes later they are 100 miles apart. If train X’s constant speed is 30 miles per hour greater than train Y’s, how far does train X travel during that time?

Two trains face each other 100 miles apart on two parallel tracks. Train B starts moving towards train A at 60 miles/hr. Half an hour later, train A starts moving towards train B at 40 miles/hr. How many miles will train A travel before it passes train B?

Jill went up a hill at an unknown constant speed. She then immediately tumbled down the hill along the same route but twice as fast. If Jill’s average speed for the round trip was 6 mph, what was her average speed tumbling down the hill?