A train travelling at a speed of 75 mph enters a tunnel 312 miles long. The train is 14 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?

Q: A train travelling at a speed of 75 mph enters a tunnel 312 miles long. The train is 14 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?

Total distance covered = 7 2 + 1 4 miles = 15 4 miles Time taken = 15 4 * 75 hrs = 1 20 hrs = 1 20 * 60 m i n = 3 min

2.5 min
3 min
3.2 min
3.5 min

Correct Answer: 3 min

Explanation:

Total distance covered = $\frac{7}{2} + \frac{1}{4}$ miles = $\frac{15}{4}$ miles

Time taken = $\frac{15}{4 * 75}$ hrs = $\frac{1}{20}$ hrs = $\frac{1}{20} * 60 m i n$ = 3 min

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