For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
07/06/2017

Problem 1:

A car travels downhill at 72 mph (miles per hour), on the level at 63 mph, and uphill at only 56 mph The car takes 4 hours to travel from town A to town B. The return trip takes 4 hours and 40 minutes. What is the distance between the two towns.

Problem 2:

The sum of three numbers is 6, the sum of their squares is 8, and the sum of their cubes is 5. What is the sum of their fourth powers?

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