If 3 cars have traveled a total of 180,000 miles and the distance traveled by each car differs by at least 1 mile from the distance traveled by either of the other 2 cars, what is the minimum possible number of miles traveled by the car with the most mileage

60001 miles

Step-by-step explanation:

Given

Let the cars be:

Assume that Car A has the minimum mileage of x.

The other cars would be:

This implies that Car C has the highest mileage

Required

Determine the possible minimum number of miles

Since the total distance is 180000, then:

Substitute values for Car A, B and C

Collect Like Terms

Divide both sides by 3

The car with the most mileage is Car C

So:

Substitute 59999 for x in

The minimum distance travelled by Car C is 60001 miles

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