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If Paula drove the distance from her home to her college at

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If Paula drove the distance from her home to her college at [#permalink] New post 02 Jul 2012, 02:42
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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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


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

Answer: B.
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Re: If Paula drove the distance from her home to her college at [#permalink] New post 02 Jul 2012, 05:33
Hi,

Difficulty level: 600

Average speed = 70km/hr
Time = Distance/speed

Using (1),
Distance > 200 or time > 200/70, The time taken might/might not be less than 3 hours. Insufficient.

Using (2),
Distance < 205 or time < 205/70, The time taken is definitely less than 3 hours. Sufficient.

Thus, Answer is (B).

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Re: If Paula drove the distance from her home to her college at [#permalink] New post 03 Jul 2012, 09:48
q. stems says that D/t>70. is t<3?

1. d>200 . it means that t could be less than 3 (but not necessarily)

2. D<205 it means that t<2,.... it is less than 3. so B is the answ
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Re: If Paula drove the distance from her home to her college at [#permalink] New post 05 Jul 2012, 12:59
statement 2 alone is sufficient. Option B
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Re: If Paula drove the distance from her home to her college at [#permalink] New post 05 Jul 2012, 13:19
+1 B

\frac{205}{(>70)} = < 3

Less than three hous.
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Re: If Paula drove the distance from her home to her college at [#permalink] New post 06 Jul 2012, 04:28
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.

Answer: B.
_________________

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!


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Re: If Paula drove the distance from her home to her college at   [#permalink] 06 Jul 2012, 04:28
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