Project ForgeFrom the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively?
- A210 and 140
- B162.5 and 187.5
- C245 and 130
- 175 and 200
Explanation
Passing the platform (front enters to back exits) covers train length + platform length at the train's own speed: 54 km/h = 15 m/s, so train+platform = 15 x 25 = 375 m. Passing the running man (same direction) covers only the train's length, but at the RELATIVE speed: 54-9=45 km/h = 12.5 m/s, so train length = 12.5 x 14 = 175 m. Platform length = 375 - 175 = 200 m.
Source: GATE ME 2018 Session 1 (Set 1) (2018)
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