A train crosses a 155-m-long platform in 16 seconds and a 195-m-long platform in 18 seconds. The speed of the train is:

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RRC Group D Previous Paper 31 (Held On: 1 Oct 2018 Shift 2)
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  1. 66 km/h
  2. 75 km/h 
  3. 69 km/h
  4. 72 km/h 

Answer (Detailed Solution Below)

Option 4 : 72 km/h 
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Detailed Solution

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

As we know,

Speed = Distance/time

⇒ x × 5/18 = (d + 155)/16     ---(1)

Again,

⇒ x × 5/18 = (d + 195)/18     ---(2)

From equation (1) and equation (2)

⇒ (d + 155)/16 = (d + 195)/18

⇒ (d + 155)/8 = (d + 195)/9

⇒ 9d + 1395 = 8d + 1560

⇒ 9d – 8d = 1560 – 1395

⇒ d = 165

From equation (1)

⇒ x × 5/18 = (165 + 155)/16

⇒ x × 5/18 = 320/16

⇒ x = 20 × 18/5

⇒ x = 72 km/hr

As we know,

⇒ 1 km/hr = 5/18 m/sec

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