[3 min] A train travelling at a speed of 75 mph enters a tunnel 3 \dfrac{1}{2} miles long. The train is \

For Competitive Exams

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?

2.5 min

3 min

3.2 min

3.5 min

Explanation:

Total distance covered	=$ \left(\dfrac{7}{2} +\dfrac{1}{4} \right) $miles
	=$ \dfrac{15}{4} $miles.

$\therefore$ Time taken	$ =\left(\dfrac{15}{4\times 75}\right)hrs$
	$=\dfrac{1}{20}hrs $
	$ =\left(\dfrac{1}{20}\times 60\right)min.$
	= 3 min.

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