One local and another express train were proceeding in the same direction on parallel tracks at 29 km/hour and 65 km/hour respectively. The driver of the former noticed that it took exactly 16 seconds for the faster train to pass by him. What is the length of the faster train?
- A60 m
- B120 m
- C160 mCorrect
- D240 m
Explanation
To find the length of the faster train, we follow these simple steps:
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Calculate Relative Speed: Since both trains are moving in the same direction, subtract the slower speed from the faster speed. Relative Speed = 65 km/hr - 29 km/hr = 36 km/hr.
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Convert Speed to Meters per Second: To match the time given in seconds, convert km/hr to m/s by multiplying by 5/18. 36 multiplied by 5/18 = 10 m/s.
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Calculate Length: The faster train passes the driver of the slower train, which means it covers its own length at the relative speed. Length = Speed multiplied by Time Length = 10 m/s multiplied by 16 seconds = 160 meters.
Therefore, the length of the faster train is 160 m. The correct option is C.
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