Question

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Answer 1

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Answer 2

Answer:

40 km/hr

Step-by-step explanation:

Let the speed of train = x km/hr.

Distance = 360 km.

[∵ Time = Distance/Speed]

Time (t₁) = (360/x)

Speed of train increased by 5 km/hr.

Time(t₂) = (360/x + 5)

The train takes 1 hour less time.

∴ t₁ - t₂ = 1

⇒ (360/x) - (360/x + 5) = 1

⇒360(x + 5) - 360x = x(x + 5)

⇒ 360x + 1800 - 360x = x² + 5x

⇒ x² + 5x = 1800

⇒ x² + 5x - 1800 = 0

⇒ x² + 45x - 40x - 1800 = 0

⇒ x(x + 45) - 40(x + 45) = 0

⇒ (x - 40)(x + 45) = 0

⇒ x = 40, -45[Speed cannot be negative]

⇒ x = 40.

Therefore,

Speed of the train = 40 km/hr

Hope it helps!