Q.

A train 600 mts long, crosses a bridge 2400 mts long in 3 minutes. The speed of the train in kmph is

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a

54 kmph

b

60 kmph

c

50 kmph

d

45 kmph

answer is D.

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Detailed Solution

60 kmph

To determine the speed of the train, we first calculate the total distance covered by the train. When a train crosses a bridge, the total distance traveled is the sum of the lengths of the train and the bridge.

Here, the length of the train is 600 meters, and the length of the bridge is 2400 meters. Therefore, the total distance covered is:

Total Distance = Length of Train + Length of Bridge

Total Distance = 600 + 2400 = 3000 meters

The time taken to cross the bridge is given as 3 minutes. Since speed is calculated as distance divided by time, we need to convert the time into seconds to ensure uniform units:

Time = 3 minutes = 3 × 60 = 180 seconds

Now, we calculate the speed in meters per second (m/s):

Speed = Total Distance / Time

Speed = 3000 / 180 = 16.67 m/s

To convert the speed into kilometers per hour (km/h), we use the conversion factor:

1 m/s = 18/5 km/h

Speed in km/h = 16.67 × (18/5) = 60 km/h

Therefore, the speed of the train is 60 km/h

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