Arithmetic

Time, Speed & Distance

Medium

A train running at the speed of 80 km/h crosses a 350 m long tunnel in 36 seconds. The length of the train (in m) is:

350

380

420

450

✅ Correct Option: 4

Let the length of the train be $L$ meters. The total distance covered by the train while crossing the tunnel is the length of the train plus the length of the tunnel, which is $L + 350$ meters.

The speed of the train is 80 km/h, which can be converted to meters per second:

$80 \text{ km/h} = \frac{80 \times 1000}{3600} = \frac{80000}{3600} \approx 22.22 \text{ m/s}$ .

The time taken to cross the tunnel is 36 seconds. Therefore, the distance covered in that time is:

$\text{Distance} = \text{Speed} \times \text{Time} = 22.22 \times 36 \approx 800 \text{ m}$ .

Setting up the equation:

$L + 350 = 800$ .

Solving for $L$ :

$L = 800 - 350 = 450$ .

Thus, the length of the train is $450$ m.

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Solution

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