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# How long did it take Carlos to drive nonstop from his home

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Director
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How long did it take Carlos to drive nonstop from his home [#permalink]

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15 Mar 2012, 14:13
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Difficulty:

45% (medium)

Question Stats:

55% (01:52) correct 45% (00:48) wrong based on 434 sessions

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How long did it take Carlos to drive nonstop from his home to Atlanta, Georgia?

(1) Carloss average speed for the trip was 55 miles per hour.
(2) If Carloss average speed for the trip had been 20 percent faster, the trip wouldve taken 3 hours.

[Reveal] Spoiler:
How come the answer can be B?

This is how I am trying to do it.

Statement 1

Average speed = Total Distance/Total Time

We don't know the distance and therefore cannot calculate the time.

Statement 2

Let the initial speed be s

New speed = s + 0.2(s) = 1.2 s

1.2 S = D/T

Again as we don't know the Distance and Speed we cannot calculate the time.

But combining the 2 statement we can calculate the time. So where I have got it wrong?
[Reveal] Spoiler: OA

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Re: Time taken by Carlos [#permalink]

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15 Mar 2012, 20:26
1
KUDOS
Statement 1
We dont know the distance so we cannot calculate T

Statement 2
IF we apply ratios we can solve it easily.
New velocity is 1.2 (6/5) times the old velocity
i.e if velocity has increased 6/5 times then time to cover the same distance will reduce to 5/6 times.
so we can write that 5/6T(old time taken)=3(new time taken)
so T(old)=3.6 hrs

so from statement 2 we know the time taken
so the ANS is B
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Re: Time taken by Carlos [#permalink]

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15 Mar 2012, 20:39
Hi,

I agree with jach2012.

These are those odd curve balls that gmat throws at you.
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Giving +1 kudos is a better way of saying 'Thank You'.

Last edited by boomtangboy on 16 Mar 2012, 02:12, edited 1 time in total.
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Re: Time taken by Carlos [#permalink]

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16 Mar 2012, 02:10
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Expert's post
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How long did it take Carlos to drive nonstop from his home to Atlanta, Georgia?

Distance=Rate*Time

(1) Carloss average speed for the trip was 55 miles per hour --> Rate=55 miles per hour, we still need Distance to get Time. Not sufficient.

(2) If Carloss average speed for the trip had been 20 percent faster, the trip wouldve taken 3 hours --> notice that we are dealing with the SAME distance: Distance=Rate*Time=(1.2*Rate)*3 --> Rate*Time=(1.2*Rate)*3 --> Time=3.6 hours. Sufficient.

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Re: How long did it take Carlos to drive nonstop from his home [#permalink]

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01 Aug 2013, 15:41
How long did it take Carlos to drive nonstop from his home to Atlanta, Georgia?

Time = distance/Rate

(1) Carloss average speed for the trip was 55 miles per hour.

Time = distance/Rate
Time = d/55

We know nothing about the distance.
INSUFFICIENT

(2) If Carloss average speed for the trip had been 20 percent faster, the trip would have taken 3 hours.
time = distance/rate
3 = d/1.2r
3.6r = d

t=d/r
t = 3.6r/r
t = 3.6

SUFFICIENT

(B)
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Re: How long did it take Carlos to drive nonstop from his home [#permalink]

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04 Jun 2014, 12:38
I couldnt understand how we got the rate as 1.2, can you please explain me here

(2) If Carloss average speed for the trip had been 20 percent faster, the trip would have taken 3 hours.
time = distance/rate
3 = d/1.2r
3.6r = d

t=d/r
t = 3.6r/r
t = 3.6
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Re: How long did it take Carlos to drive nonstop from his home [#permalink]

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04 Jun 2014, 12:46
1
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Expert's post
Raghunathnallu wrote:
I couldnt understand how we got the rate as 1.2, can you please explain me here

(2) If Carloss average speed for the trip had been 20 percent faster, the trip would have taken 3 hours.
time = distance/rate
3 = d/1.2r
3.6r = d

t=d/r
t = 3.6r/r
t = 3.6

20 percent faster means (rate) + 0.2*(rate) = 1.2*(rate).

Does this make sense?
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Re: How long did it take Carlos to drive nonstop from his home [#permalink]

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04 Jun 2014, 23:51
Yes it definitely does. Thanks for the explanation
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Re: How long did it take Carlos to drive nonstop from his home [#permalink]

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24 May 2016, 22:56
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Re: How long did it take Carlos to drive nonstop from his home [#permalink]

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06 Dec 2016, 15:43
enigma123 wrote:
How long did it take Carlos to drive nonstop from his home to Atlanta, Georgia?

(1) Carloss average speed for the trip was 55 miles per hour.
(2) If Carloss average speed for the trip had been 20 percent faster, the trip wouldve taken 3 hours.

1 is clearly insufficient.

2. let's give some letters for rate, time distance.
RT = D, where R=rate, T=time, D=distance.
we are given:
1.2R * (T-3) = RT
1.2RT - 3.6R = RT
3.6R = 0.2RT | divide by R
3.6 = 0.2T
we can find T. sufficient.

T=3.6/0.2 = 18 hours.

Re: How long did it take Carlos to drive nonstop from his home   [#permalink] 06 Dec 2016, 15:43
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