Puzzle #83: Belleview and Hillview Distance

This is a beautiful puzzle for children from the book Mathematical Circle Diaries, Year 1 (Session 22, last puzzle).

Two mountain villages, Belleview and Hillview, are connected by a road. Not a single stretch of this road is flat: the road always goes either uphill or downhill. A round trip on a bus between these two villages takes 6 hours. The speed of the bus on any uphill section of the road is 30 miles per hour, and on any downhill section it’s 60 miles per hour. Find the distance between the these villages.

As always, please send your answers directly to me at alokgoyal_2001@yahoo.com. If you like the puzzle, please share it with others. If you have interesting puzzles to share, please send them to me at my e-mail given above.

Happy driving!

This entry was posted in Puzzles and tagged , . Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s