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Math question: how can you drive your car maximum distance with 5 new tires?
You put brand new tires on your car. The tires can run 21000 km on the front wheels and 29000 km on the rear wheels. (Let's suppose that the tires are getting used up proportionally with the distance.) The car has a new spare tire also. What is the maximum distance you can drive using the 5 new tires if you may rotate them at your wish? (Give me the schedule of rotation of the tires, also.)
1 Answer
- 1 decade agoFavorite Answer
The front tire is the driving force behind this because it is the least miles and therefore controls.
21000x5=105000 front tire km is the most you could get if you used all your front tires to their maximum. If you divide this by 2 you get 52,500 which will be the maximum car miles (since there are 2 front tires)
21000/4=5250 which means that the spare tire has to do 5250 for each of the other tires on the front wheel to maximize.
21000-5250=15750
If after 15750 you could leave rotate one front tire and put on the spare for 5250 km then rotate the spare to the other front tire for 5250 km.
This will maximize the two front tires. Then exchange the original two front tires to the back and the original back tires to the front, and rotate out one of the front tires for 5250 km, then the last tire for 5250 km...the rotate out the spare. And drive until 52,500 km.
Since the back tires would have +15750+5250+5250=26250 it is less than they can have so you do not ever need to use the spare tire in the back tires.
