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n2739178
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Post subject: *how do i solve this algebraically?  Posted: Mon Jul 25, 2011 8:49 am |
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Posts: 27
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Frankie and Georgia are driving along the same road. If
Frankie is driving at a speed of 52 miles per hour and Georgia
is 30 miles behind him, driving at a speed of 58 miles per hour,
how long will it take before Georgia catches up with Frankie?
how do i solve this algebraically?
thanks
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n2739178
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Post subject: Re: how do i solve this algebraically? Posted: Mon Jul 25, 2011 8:50 am |
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Posts: 27
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btw the answer is 5 hours, but I found that by solving intuitively rather than algebraically..
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varun_783
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Post subject: Re: how do i solve this algebraically? Posted: Mon Jul 25, 2011 9:35 am |
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Posts: 263
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Hi,
The distance between them is shrinking at the rate of 6 miles per hour (58mph - 52mph). In other words, Georgia is gaining 6 miles every hour on Frankie. Georgia is 30 miles behind to begin with.
She has 30 miles of distance to close down. So algebraically she needs: 30/6 = 5 hours to catch up
Regards
Sunil
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mithunsam
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Post subject: Re: how do i solve this algebraically? Posted: Thu Jul 28, 2011 2:32 pm |
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Posts: 76
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You can do it in two ways...
The easiest is method is...
(additional distance to travel)/(additional speed) = 30/6=5hrs
Or you can solve it as below...
Georgia has to travel 30 miles more than Franklin
So, Distance travelled by Georgia = Distance travelled by Franklin + 30
=> SgTg = SfTf + 30 (Distance = Speed * Time)
But Time taken by Georgia and Franklin are same.
=>SgTg = SfTg + 30 (Substitute Tg for Tf)
=>58Tg = 52Tg + 30 (Substitute Georgia's and Franklin's speeds from the question)
=> 6Tg = 30
=> Tg = 5 hrs
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RonPurewal
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Post subject: Re: how do i solve this algebraically? Posted: Sat Jul 30, 2011 3:27 am |
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| ManhattanGMAT Staff |
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Posts: 7146
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this doesn't seem like a GMAT PREP SOFTWARE problem.
* in the extremely unlikely case that this problem is actually from the gmat prep software, please post a screenshot as proof.
* if the problem is from another source, please start a new thread in the general math folder and cite the source.
we will kill this thread in about 1 week if there is no response. thanks.
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n2739178
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Post subject: Re: *how do i solve this algebraically? Posted: Wed Sep 28, 2011 2:06 pm |
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Posts: 27
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I think I got it from GMATClub's Tests...
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RonPurewal
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Post subject: Re: *how do i solve this algebraically? Posted: Thu Oct 06, 2011 5:53 am |
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| ManhattanGMAT Staff |
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Posts: 7146
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i'm going to lock this thread, because this problem is not from the GMAT PREP software. if you would like to discuss the problem further, please start a new thread in the general math folder (with an appropriate citation of the source).
by the way -- this problem has essentially zero value added if you have the OG; it is exactly the same problem as OG12 #206, only with slightly different numbers.
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