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OG If Paula drove the distance from her home

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by AbeNeedsAnswers » Wed Aug 23, 2017 9:25 pm
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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.

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by [email protected] » Mon Sep 11, 2017 7:53 pm
Hi AbeNeedsAnswers,

We're told that Paula drove the distance from her home to her college at an average speed that was GREATER than 70 kilometers per hour. We're asked if it took her less than 3 hours to drive this distance. This is a YES/NO question. This question can be solved by TESTing VALUES and using a bit of logic.

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

IF...
distance = 300 km and speed = 150 km/hour, then it would take 2 hours and the answer to the question is YES.
distance = 300 km and speed = 750 km/hour, then it would take 4 hours and the answer to the question is NO.
Fact 1 is INSUFFICIENT

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

With Fact 2, we know that the distance is LESS than 205 km. IF Paula drove 70 km/hour for 3 hours, then she would drive 210 km (which is GREATER than that). Since we know Paula drove FASTER than 70km/hour, we know that she would cover any distance less than 210 km in under 3 hours. Thus, the answer to the question is ALWAY YES.
Fact 2 is SUFFICIENT

Final Answer: B

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by Jeff@TargetTestPrep » Thu Jun 21, 2018 3:31 pm
AbeNeedsAnswers wrote: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.
Statement One Alone:

The distance that Paula drove from her home to her college was greater than 200 kilometers.

We don’t have enough information to determine whether it takes her less than 3 hours to drive to school. For example, if the distance is 320 km, and her speed is 80 kmph, then it takes her 4 hours to drive to school. However, if the distance is 220 km, and her speed is 80 kmph, then it takes her 2.75 hours to drive to school.

Statement one alone is not sufficient.

Statement One Alone:

The distance that Paula drove from her home to her college was less than 205 kilometers.

We do have enough information to determine whether it takes her less than 3 hours to drive to school. Let’s say the distance is exactly 205 km and her speed is exactly 70 kmph. Then it takes her approximately 2.93 hours to drive to school. However, since the distance is less than 205 km and her speed is greater than 70 kmph, it will definitely take her less than 2.93 hours (and hence less than 3 hours) to drive to school.

Statement two alone is sufficient.

Answer: B

Jeffrey Miller
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