One local and another express train were proceeding in the same direction on parallel tracks at 29 km/hour and

Question

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?

Accepted Answer

To find the length of the faster train, we follow these simple steps:

1. 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.

2. 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.

3. 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.

Answer

60 m

Answer

120 m

Answer

160 m

Answer

240 m

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?

Explanation

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