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# 12:00 am, Mary passed a certain gas station on a highway while

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BSchool Forum Moderator
Joined: 29 Jan 2015
Posts: 1475
Location: India
WE: General Management (Consumer Products)
12:00 am, Mary passed a certain gas station on a highway while  [#permalink]

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06 Apr 2019, 06:05
3
00:00

Difficulty:

65% (hard)

Question Stats:

48% (02:13) correct 52% (01:48) wrong based on 44 sessions

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12:00 am, Mary passed a certain gas station on a highway while traveling west at a constant speed of r miles per hour. Then, 1 hour later, Paul passed the same gas station while traveling west at a constant speed 3r/2 miles per hour. If both drivers maintained their speeds, how many miles from the station did Paul catch up with Mary?

(A) r/2

(B) r

(C) 2r

(D) 5r/2

(E) 3r
Senior Manager
Status: Whatever it takes!
Joined: 10 Oct 2018
Posts: 382
GPA: 4
Re: 12:00 am, Mary passed a certain gas station on a highway while  [#permalink]

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06 Apr 2019, 07:12
1
This is how I solved. Instead of using variables, I've used numbers to solve. Hope it helps.

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Intern
Joined: 21 Apr 2019
Posts: 34
Re: 12:00 am, Mary passed a certain gas station on a highway while  [#permalink]

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06 Dec 2019, 17:30
Relative speed * time = distance
(3r/2 - r) t = r
t= 2hours

So, the distance travelled by Paul is 3r/2 per hour.. so in two hours that 6r/2 which is 3r.
Re: 12:00 am, Mary passed a certain gas station on a highway while   [#permalink] 06 Dec 2019, 17:30
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# 12:00 am, Mary passed a certain gas station on a highway while

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