No cheating. Here's a simple math test for you.

A traveler must make a 60-mile round trip between two towns, Aliceville and Bobtown. The distance each way is 30 miles. Going from Aliceville to Bobtown, the traveler drives at exactly 30 miles per hour. By the time they reach Bobtown, they decide they want to average 60 miles per hour for the entire 60-mile journey.

Question: How fast must they drive on the return trip from Bobtown to Aliceville to achieve an overall average of 60 mph? https://x.com/DataRepublican/status/1951494116488978447?t=hy7wFm-BLUY0FJnG3TN4jw&s=19 //

RubyPorto
•
7mo ago
•
Edited 7mo ago
Profile Badge for the Achievement Top 1% Commenter Top 1% Commenter
To average 60mph on a 60 mile journey, the journey must take exactly 1 hour. (EDIT: since this is apparently confusing: because it takes 1 hour to go 60 miles at 60 miles per hour and the question is explicit about it being a 60 mile journey)

The traveler spent an hour traveling from A to B, covering 30 miles. There's no time left for any return trip, if they want to keep a 60mph average.

If the traveler travels 120mph on the return trip, they will spend 15 minutes, for a total travel time of 1.25hrs, giving an average speed of 48mph.

If the traveller travels 90mph on the return trip, they will spend 20 minutes, for a total time of 1.333hrs, giving an average speed of 45mph.