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Average speed: the SAT math trap

Short answer: Average speed = total distance ÷ total time. Never average the two speeds.

The trap, in one question

You drive 120 miles at 60 mph, then 120 miles back at 40 mph. What is your average speed?

Tempting answer: 50 mph  (average of 60 and 40)

Correct answer: 48 mph  (240 mi ÷ 5 hr)

Watch it in under a minute

How to spot it in 3 seconds

Average speed = total distance ÷ total time. Never average the two speeds.

FAQ

What is the average speed trap on the SAT?

Example: You drive 120 miles at 60 mph, then 120 miles back at 40 mph. What is your average speed? The tempting answer is 50 mph (average of 60 and 40); the correct answer is 48 mph (240 mi ÷ 5 hr).

How do you avoid the average speed trap?

Average speed = total distance ÷ total time. Never average the two speeds.

More Math traps

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