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GRE Quantitative Reasoning QUESTION #8076
Question 1

Given that $ds \neq 0$:

Compare:

Column A: The time required to travel $d$ miles at $s$ miles per hour

Column B: The time required to travel $\frac{d}{4}$ miles at $2s$ miles per hour

  • Column A is greater✔️
  • Column B is greater
  • The two quantities are equal
  • The relationship cannot be determined
Correct Answer Explanation

Calculate each time using the formula $\text{time} = \frac{\text{distance}}{\text{speed}}$:

  • Column A: $t_A = \frac{d}{s}$
  • Column B: $t_B = \frac{d/4}{2s} = \frac{d}{8s}$

To compare, find the ratio: $\frac{t_A}{t_B} = \frac{d/s}{d/(8s)} = \frac{d}{s} \times \frac{8s}{d} = 8$

So $t_A = 8 \times t_B$, meaning Column A is 8 times larger than Column B.

Therefore, Column A is greater.