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Question:

Amelia drives her car at with an average speed of 35 mph for 15 minutes. How far did she travel?

A 8.75 miles.
explanation

The equation for average speed is:
Average speed = distance traveled / time
If we multiply both sides by time we get the equation for distance traveled given average speed and time:
Distance traveled = (average speed) (time)
The average speed is 35 mph
The time is 15 minutes, which must be converted to hours: \(15min \div 60min= \frac{\mathrm{1} }{\mathrm{4}} hour\)
If we plug in the numbers we get:Distance traveled = (35 mph)(1/4 hours) = 8.75 miles

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