Here’s a puzzle that sounds a little like those, “A train leaves…” questions we were all prepared for but rarely saw on the SAT, but with a twist.
You are going to take a drive from City A to City B and back, but in a rather unusual car. When travelling uphill, the car always moves at exactly 56 miles per hour. On level ground, it travels at 63 miles per hour and finally when travelling downhill it travels at 72 miles per hour. Assume that it transitions from one speed to another instantaneously and all of those other “mathematically perfect” qualities that make questions like this answerable.
You find that travelling from City A to City B takes exactly 4 hours of travel time. On the return trip, driving time sums to 4 hours and 40 minutes.
How far apart are Cities A and B?