Multiple choice

Lila is hiking on a trail with a total distance of 60 miles. If one-fourth of the distance takes three times as long as the remaining distance, and t represents the time taken to cover one-fourth of the distance, what is the average speed, in miles per hour, for the entire journey?

  1. 15 t

  2. 45 4t

  3. 45 t

  4. 125 3t

  5. 60 t
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C Correct answer
AI explanation

The time to cover the remaining three-fourths of the distance is t/3, making the total time for the 60-mile journey t + t/3, which equals 4t/3. The average speed is total distance divided by total time, so 60 divided by 4t/3 equals 45/t. The average speed for the entire journey is 45/t.

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