Concept

Elapsed Time in Distance, Rate, and Time Problems

In the distance formula d=rtd = rt, the variable tt represents the elapsed time — the actual duration of travel measured in hours, minutes, or other time units. Elapsed time is the amount of time that passes between the start and end of a trip, not a reading from a clock. When a problem provides starting and ending times as clock readings (for example, "left at 2:00 p.m. and arrived at 5:00 p.m."), the elapsed time must first be calculated by finding the difference between the two clock times before the formula can be applied. For the example above, the elapsed time would be 5:002:00=35:00 - 2:00 = 3 hours, and t=3t = 3 would be substituted into d=rtd = rt. Failing to convert clock times into elapsed time before using the formula is a common source of error.

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Updated 2026-04-22

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