If speed increases from 40 mph to 60 mph for the same distance, by what factor does travel time decrease?

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Multiple Choice

If speed increases from 40 mph to 60 mph for the same distance, by what factor does travel time decrease?

Explanation:
When distance is fixed, travel time is inversely related to speed: t = distance / speed. If the speed climbs from 40 mph to 60 mph, the time changes from d/40 to d/60. The ratio of new time to old time is (d/60) ÷ (d/40) = 40/60 = 2/3. So the travel time becomes two-thirds of what it was before—that is, it decreases by a factor of 2/3.

When distance is fixed, travel time is inversely related to speed: t = distance / speed. If the speed climbs from 40 mph to 60 mph, the time changes from d/40 to d/60. The ratio of new time to old time is (d/60) ÷ (d/40) = 40/60 = 2/3. So the travel time becomes two-thirds of what it was before—that is, it decreases by a factor of 2/3.

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