Officer Aptitude Rating (OAR) Formulas Practice Test

Which equation expresses the time required for a trip, given distance and speed?

Time = Distance * Speed Time = Speed / Distance Time = Distance / Speed Time = Distance + Speed

Correct Answer:

Time = Distance / Speed

Explanation:

Speed tells how far you go each hour, so time is found by rearranging the relation speed = distance / time into time = distance / speed. This expression directly computes how long a trip takes when you know how far you’re going and how fast you’ll go. For example, 120 miles at 60 miles per hour takes 120 / 60 = 2 hours. The units line up: miles divided by (miles per hour) leaves hours, which is the measure of time. The other forms don’t fit because they mix or invert the quantities improperly: multiplying distance by speed doesn’t produce a time, dividing distance by distance isn’t time, and adding distance and speed combines unlike quantities.

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