Multiple choice

A train travelling at a speed of 75 mph enters a tunnel $3 \dfrac{1}{2}$ miles long. The train is $\dfrac{1}{4}$ mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?

  1. 2.5 min

  2. 3 min

  3. 3.2 min

  4. 3.5 min
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total distance to cover = Tunnel length + Train length = 3.5 + 0.25 = 3.75 miles. Speed = 75 mph. Time = Distance / Speed = 3.75 / 75 = 0.05 hours. 0.05 * 60 = 3 minutes.

AI explanation

The total distance the train must cover is the sum of the tunnel length and the train length, so 3.5 miles plus 0.25 miles equals 3.75 miles. Using the formula time equals distance divided by speed, 3.75 miles divided by 75 miles per hour yields 0.05 hours. Multiplying 0.05 hours by 60 minutes gives a total time of 3 minutes.

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