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

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

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New post 15 Mar 2012, 14:13
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A
B
C
D
E

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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New post 15 Mar 2012, 20:26
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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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New post 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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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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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.

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

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New post 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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New post 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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New post 04 Jun 2014, 12:46
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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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New post 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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Re: How long did it take Carlos to drive nonstop from his home [#permalink]

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New post 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.

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