1992 AMC 8 Problem 18

Attempt Problem 18 of the 1992 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1992 AMC 8 solutions, or check the answer key.

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18.

On a trip, a car traveled 8080 miles in an hour and a half, then was stopped in traffic for 3030 minutes, then traveled 100100 miles during the next 22 hours. What was the car's average speed in miles per hour for the 44-hour trip?

4545

5050

6060

7575

9090

Answer: A
Concepts:distance rate and time

Difficulty rating: 930

Solution:

The car covered 80+100=18080 + 100 = 180 miles in total, over 1.5+0.5+2=41.5 + 0.5 + 2 = 4 hours (the traffic stop still counts as time).

The average speed is 1804=45\dfrac{180}{4} = 45 miles per hour.

Thus, the correct answer is A .

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