A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is;
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ক
45 km/hr
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খ
50 km/hr
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গ
54 km/hr
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ঘ
55 km/hr
Speed = Distance / Time
First, convert the length of the train from meters to kilometers by dividing by 1000 (since 1 kilometer = 1000 meters):
Length of train = 125 m = 125 / 1000 km = 0.125 km
Now, you know that the train passes a man in 10 seconds while the man is running at 5 km/hr in the same direction as the train.
Relative speed of the train with respect to the man = Speed of train - Speed of man Relative speed = Speed of train - 5 km/hr
Since the train is passing the man in the same direction, you can set up the equation:
0.125 km / 10 seconds = (Speed of train - 5 km/hr) / 1 hour
First, calculate the speed of the train in km/hr:
0.125 km / 10 seconds = (Speed of train - 5 km/hr) / 1/3600 hour
Now, simplify the equation:
0.0125 km/s = (Speed of train - 5 km/hr) / (1/3600)
To isolate the speed of the train, multiply both sides by (1/3600):
Speed of train - 5 km/hr = 0.0125 km/s * 3600
Speed of train - 5 km/hr = 45 km/hr
Now, add 5 km/hr to both sides to find the speed of the train:
Speed of train = 45 km/hr + 5 km/hr = 50 km/hr
So, the speed of the train is 50 km/hr.
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