*how do i solve this algebraically?

by **rkafc81** Mon Jul 25, 2011 8:49 am

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

by **rkafc81** Mon Jul 25, 2011 8:50 am

btw the answer is 5 hours, but I found that by solving intuitively rather than algebraically..

by **messi10** Mon Jul 25, 2011 9:35 am

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

by **mithunsam** Thu Jul 28, 2011 2:32 pm

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

by **RonPurewal** Sat Jul 30, 2011 3:27 am

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.

by **rkafc81** Wed Sep 28, 2011 2:06 pm

I think I got it from GMATClub's Tests...

by **RonPurewal** Thu Oct 06, 2011 5:53 am

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.

*how do i solve this algebraically?

*how do i solve this algebraically?

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