All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > General
Tread Ware (Posted on 2013-08-20) Difficulty: 3 of 5
Suppose you know that tires on the rear of your car will wear out after 21000 miles, while tires on the front of your car last for 29000 miles. Suppose you have a new car and five identical new tires (four installed and one spare.) What is the maximum distance you can drive, assuming you can easily change the tires any time you want?

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 2.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Max dist, no plan. | Comment 1 of 4
Each mile you drive uses up 2/29000 + 2/21000 = 1/6090 of your tires.   Since you have 5 tires, 5*6090 = 30450 miles.

Since there are no limitations on tire rotations, there is no reason why this limit can't be reached.  Actually finding a simple scheme to do so seems daunting.

  Posted by Jer on 2013-08-20 11:19:35
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information