Praxis 5003 Practice Question
The formula d = rt relates distance, rate, and time. If a given distance is tripled and its corresponding time remains the same, which of the following is equivalent to the new rate?
Correct Answer: B
Rationale: The formula d = rt can be rearranged to find the rate: r = d/t. If the distance (d) is tripled, the new distance becomes 3d, while the time (t) remains unchanged. Substituting into the rate formula gives r = (3d)/t, which is option B.
Option A (3dt) incorrectly multiplies distance and time, failing to represent rate. Option C (t/(3d)) inversely relates time to the tripled distance, which does not reflect the correct calculation for rate. Option D (d/(3t)) misrepresents the relationship by dividing the original distance by three times the time, leading to an incorrect rate.
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