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# While driving on a straight road at a constant speed, Jason passed a m

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Senior Manager
Joined: 25 Dec 2018
Posts: 486
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
While driving on a straight road at a constant speed, Jason passed a m  [#permalink]

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06 Mar 2019, 01:26
2
00:00

Difficulty:

65% (hard)

Question Stats:

57% (03:36) correct 43% (03:07) wrong based on 21 sessions

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While driving on a straight road at a constant speed, Jason passed a milestone with a two digit number. After exactly an hour, he passes a second milestone with the same two digits written in reverse order. Exactly one more hour after that, he passed a third milestone with the same two digits reversed and separated by a zero. What is the sum of the two digits?

A) 5
B) 6
C) 7
D) 8
E) 9
Math Expert
Joined: 02 Aug 2009
Posts: 7971
Re: While driving on a straight road at a constant speed, Jason passed a m  [#permalink]

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06 Mar 2019, 11:16
mangamma wrote:
While driving on a straight road at a constant speed, Jason passed a milestone with a two digit number. After exactly an hour, he passes a second milestone with the same two digits written in reverse order. Exactly one more hour after that, he passed a third milestone with the same two digits reversed and separated by a zero. What is the sum of the two digits?

A) 5
B) 6
C) 7
D) 8
E) 9

the speed is constant, so the distance traveled in first hour, that is from a certain 2-digit to its reverse, must be less than 100. Similarly in 2nd hour too it will be less than 100
So the third milestone will be 10x, where 10x is a 3-digit number.
Thus the first milestone is 1x and second is x1..
Distance traveled has to be same in two periods, so 10x-x1=1x...
(100+x)-(10x+1)=(10x+1)-(10+x).........100+x-10x-1=10x+1-10-x.............18x=108..........x=6
So the number on first milestone is 16, and sum of digits is 1+6=7

C
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Re: While driving on a straight road at a constant speed, Jason passed a m   [#permalink] 06 Mar 2019, 11:16
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# While driving on a straight road at a constant speed, Jason passed a m

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