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1349 - Data Sufficiency

Data Sufficiency MCQ No. : 49993

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.

Correct Answer: B

Explanation:

Arithmetic Distance problem

A distance problem uses the formula : distance = rate X time.
To find the time, the formula would be rearranged as: time = distance / rate.
To solve this 6 rate problem, it is necessary to know the rate (given here as 70 kilometers per hour) and the distance.

  • (1) If D is the distance Paula drove then D >200 and D/70 > 200/70 = 2 6/7 so t > 2 6/7 and t may or may not be less than 3;NOT sufficient.
  • If D is the distance Paula drove then D<205 and D/70 < 205/70 = 2 13/14 so t < 2 13/14 <3; SUFFICIENT.

The correct answer is B; statement 2 alone is sufficient.

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