A train crosses a pole in 12 sec, and a bridge of length 170 m in 36 sec. Then the speed of the train is:

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SSC CGL Previous Paper 65 (Held On: 3 March 2020 Shift 1)
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  1. 30.75 km/h
  2. 25.5 km/h
  3. 32.45 km/h
  4. 10.8 km/h

Answer (Detailed Solution Below)

Option 2 : 25.5 km/h
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Detailed Solution

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Formula used:

Speed = Distance / Time

(1 m/s) × (18/5) = 1 km/hr

Shortcut Trick

If train cross its length in 12 seconds and 170 m bridge in (36 - 12 = 24) seconds.

Speed of train = [170/24] × [18/5] = 25.5 km/hr

 Alternate Method

Let the length of the train be x m.

As we know,

Speed = Distance/time

Speed (v) = x/12     

x = 12 v                      -----(1)

Again,

v = (x + 170)/36          -----(2)

From equation (1)

v = (12v + 170)/36

⇒ 36v = 12v + 170

⇒ 24v = 170

⇒ v = 170/24 m/s 

⇒ v = (170/24) × (18/5) km/hr

∴ Speed = 25.5 km/hr
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