Two Race cars of same kind, same Horse power, same speed, same weight and same built, start with same speed, from the equator on opposite direction placed on different tracks, side by side at the same point. Also the weight and the built of both the drivers is same as is their personality.
In this case the tyres of which Race car wears out more?.




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The relative motion between two surfaces affects the coefficient of friction between the two bodies.  

When a car is moving along the direction towards west, it is moving against the rotation of Earth about itself.  So it faces more friction. So its tires are worn out more.  

Also, the thrust force needed to move a car with a speed v is more if it moves against the rotation of earth rather than when car moves with the same speed v.  That means more fuel is needed and more engine power is needed.