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If Paula drove the distance from her home to her college at [#permalink]
02 Jul 2012, 01:42

Expert's post

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Difficulty:

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Question Stats:

74% (02:08) correct
26% (01:17) wrong based on 293 sessions

If Paula drove the distance from her home to her college at an average speed that was greater than 70 kilometers per hour, did it take her less than 3 hours to drive this distance?

(1) The distance that Paula drove from her home to her college was greater than 200 kilometers. (2) The distance that Paula drove from her home to her college was less than 205 kilometers.

Diagnostic Test Question: 38 Page: 26 Difficulty: 600

Re: If Paula drove the distance from her home to her college at [#permalink]
02 Jul 2012, 01:43

Expert's post

SOLUTION

If Paula drove the distance from her home to her college at an average speed that was greater than 70 kilometers per hour, did it take her less than 3 hours to drive this distance?

(1) The distance that Paula drove from her home to her college was greater than 200 kilometers. If distance=500 and rate=500 then time=500/500=1<3 but if distance=500 and rate=100 then time=500/100=5>3. Not sufficient.

(2) The distance that Paula drove from her home to her college was less than 205 kilometers. Even if the distance were 205 kilometers (maximum) and the rate were 70 kilometers per hour (minimum), still the time would be less than 3 hours: 205/70<3. Sufficient.

Re: If Paula drove the distance from her home to her college at [#permalink]
06 Jul 2012, 03:28

Expert's post

SOLUTION

If Paula drove the distance from her home to her college at an average speed that was greater than 70 kilometers per hour, did it take her less than 3 hours to drive this distance?

(1) The distance that Paula drove from her home to her college was greater than 200 kilometers. If distance=500 and rate=500 then time=500/500=1<3 but if distance=500 and rate=100 then time=500/100=5>3. Not sufficient.

(2) The distance that Paula drove from her home to her college was less than 205 kilometers. Even if the distance were 205 kilometers (maximum) and the rate were 70 kilometers per hour (minimum), still the time would be less than 3 hours: 205/70<3. Sufficient.

Re: If Paula drove the distance from her home to her college at [#permalink]
01 Aug 2013, 13:40

If Paula drove the distance from her home to her college at an average speed that was greater than 70 kilometers per hour, did it take her less than 3 hours to drive this distance?

r > 70 km/hour

This question is looking for time.

(1) The distance that Paula drove from her home to her college was greater than 200 kilometers. Time = distance/rate

Lets go with two hypothetical cases: d=201, d=1000

d=201 Time = 201/71 Time = 2.8 hours

d=1000 Time = 1000/71 Time = 14 hours

All we know is that her rate was greater than 70 and the distance was greater than 200. There are an infinite number of cases where her trip could have taken less than or more than three hours.

INSUFFICIENT

(2) The distance that Paula drove from her home to her college was less than 205 kilometers. If the distance traveled is less than 205 and her speed is greater than 71 then we know for sure that her travel time is under three hours. Just to be sure, let's minimize and maximize the values given:

d = 204.99999999 s = 70.00000001

Time = distance/rate 204.99999999/70.00000001 = 2.929 Obviously we would never be required to be that precise on the GMAT, but just to show as an example, the time will always be less than three hours. SUFFICIENT

Re: If Paula drove the distance from her home to her college at [#permalink]
13 Oct 2014, 08:25

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