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If 3 cars have traveled a total of 180,000 miles and the distance trav

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If 3 cars have traveled a total of 180,000 miles and the distance trav  [#permalink]

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New post 06 Feb 2019, 03:02
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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 diatance traveled by either of the other 2 cars, what is the minimum possible number of miles traveled by the car with the most mileage?

A. 60,001
B. 60,002
C. 61,000
D. 91,000
E. 180,000

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Re: If 3 cars have traveled a total of 180,000 miles and the distance trav  [#permalink]

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New post 06 Feb 2019, 06:25
Bunuel wrote:
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 diatance traveled by either of the other 2 cars, what is the minimum possible number of miles traveled by the car with the most mileage?

A. 60,001
B. 60,002
C. 61,000
D. 91,000
E. 180,000



x+x-1+x-2= 180,000
3x=180003
x= 6001
IMO A
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Re: If 3 cars have traveled a total of 180,000 miles and the distance trav  [#permalink]

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New post 06 Feb 2019, 13:06
Bunuel wrote:
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 diatance traveled by either of the other 2 cars, what is the minimum possible number of miles traveled by the car with the most mileage?

A. 60,001
B. 60,002
C. 61,000
D. 91,000
E. 180,000


Since we have to find the least possible distance traveled by a car with most mileage, lets start with the smallest option and see whether it satisfies the conditions
A-60,001
Now, other cars can have traveled 60,000 and 59,999 (total=180,000)
This satisfies the condition (distance traveled by each car differs by at least 1 mile), so this is the answer

Ans:A
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Re: If 3 cars have traveled a total of 180,000 miles and the distance trav   [#permalink] 06 Feb 2019, 13:06
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