Starting at 9 a. m. you hike for 3 hours at an average speed of 5 mph. you stop for lunch from noon until 3 p. m. what is your average speed over the interval from 9 a. m to 3 p. m.?

The average speed over the interval from 9 A.M. to 3 P.M. is 2.5 mph.

Explanation:

We can calculate the average speed as:

s = (s₁ + s₂) / n = (5 mph + 0 mph) / 2 = 2.5 mph

where:

s=average speed over the entire interval (9 A.M. to 3 P.M.)

s₁: average speed during the hiking (interval from 9A.M. to 12 A.M.)

s₂: average speed during the lunch (interval from 12 P.M to 3 P.M.)

n: number of intervals

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