Two trains are running on parallel tracks in the same direction at the speed of 80 km/h and 90 km/h, respectively. The trains crossed each other in 3 minutes. If the length of one train is 230 m, then what is the length (in m) of the other train?

Question

Question

This question was previously asked in

SSC CGL 2021 Tier-I (Held On : 21 April 2022 Shift 2)

Answer 1

Given:

Speed of the two trains is 80 km/h and 90 km/h

They cross each other in 3 minutes

Concept used:

Time = Distance/speed

Relative speed = When two bodies moving in the same direction then their relative speed of them will be different of the individual speed

Calculation:

3 min = 180 sec

The relative speed of the trains = 90 - 80

⇒ 10 km/h

Speed in m/sec = 10 × (5/18)

⇒ 25/9

Let the length of the other train be x m

Now,

[(230 + x)/(25/9)] = 180

⇒ (230 + x) = 180 × (25/9)

⇒ 230 + x = 500

⇒ x = 270

So, length of the other train = 270 m

∴ The length (in m) of the other train is 270.

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