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

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Math Expert
Joined: 02 Sep 2009
Posts: 52905
If 3 cars have traveled a total of 180,000 miles and the distance trav  [#permalink]

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06 Feb 2019, 02:02
00:00

Difficulty:

45% (medium)

Question Stats:

29% (01:56) correct 71% (01:49) wrong based on 7 sessions

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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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06 Feb 2019, 05:25
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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Joined: 14 May 2018
Posts: 32
GMAT 1: 710 Q49 V38
Re: If 3 cars have traveled a total of 180,000 miles and the distance trav  [#permalink]

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06 Feb 2019, 12:06
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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GMAT:710 (Q49,V38)

Re: If 3 cars have traveled a total of 180,000 miles and the distance trav   [#permalink] 06 Feb 2019, 12:06
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