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A train crosses a pole in 20 seconds, and it crosses a cyclist coming in opposite direction at 5 km/h in 18 seconds. What is the speed of the train?
1. 45 km/h
2. 62 km/h
3. 40 km/h
4. 65 km/h

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Best answer
Correct Answer - Option 1 : 45 km/h

Calculation:

Let speed of the train be x km/hr and length of the train be d m.

As we know

Distance = Speed × Time

⇒ Distance = x × 5/18 × 20     ---(1)

Again,

Distance = 18 × (x + 5) × 5/18      ---(2)

From equation (1) and equation (2)

⇒ x × 5/18 × 20 = 18 × (x + 5) × 5/18

⇒ 20x = 18x + 90

⇒ 20x – 18x = 90

⇒ 2x = 90

⇒ x = 90/2

⇒ x = 45 km/hr

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