A train crossed a 120 m long platform in 12 seconds and 165 m long platform in 15 seconds. The speed of the train was:

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RRB ALP Previous Paper 13 (Held On: 20 Aug 2018 Shift 2)
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  1. 66 km/h
  2. 54 km/h
  3. 49 km/h
  4. 72 km/h

Answer (Detailed Solution Below)

Option 2 : 54 km/h
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Detailed Solution

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Formula Used:

Distance = Speed × Time

Calculations:

Let the speed of the train be ‘x’ m/s and the length of the train be ‘y’ m

A train crossed a 120 m long platform in 12 seconds,

⇒ 12 × (x) = 120 + y       ----(1)

A train crossed a 165 m long platform in 15 seconds,

⇒ 15 × (x) = 165 + y       ----(2)

Equation (2) - Equation (1) we get,

⇒ 3x = 45

⇒ x = 15 m/s = 15 × (18/5) km/h = 54 km/h

∴ The speed of the train is 54 km/h.

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