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Question
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;
45 km/hr
50 km/hr
54 km/hr
55 km/hr
ANSWER : 2
Descrption
<p style="margin-left:0px;">Speed = Distance / Time</p><p style="margin-left:0px;">First, convert the length of the train from meters to kilometers by dividing by 1000 (since 1 kilometer = 1000 meters):</p><p style="margin-left:0px;">Length of train = 125 m = 125 / 1000 km = 0.125 km</p><p style="margin-left:0px;">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.</p><p style="margin-left:0px;">Relative speed of the train with respect to the man = Speed of train - Speed of man Relative speed = Speed of train - 5 km/hr</p><p style="margin-left:0px;">Since the train is passing the man in the same direction, you can set up the equation:</p><p style="margin-left:0px;">0.125 km / 10 seconds = (Speed of train - 5 km/hr) / 1 hour</p><p style="margin-left:0px;">First, calculate the speed of the train in km/hr:</p><p style="margin-left:0px;">0.125 km / 10 seconds = (Speed of train - 5 km/hr) / 1/3600 hour</p><p style="margin-left:0px;">Now, simplify the equation:</p><p style="margin-left:0px;">0.0125 km/s = (Speed of train - 5 km/hr) / (1/3600)</p><p style="margin-left:0px;">To isolate the speed of the train, multiply both sides by (1/3600):</p><p style="margin-left:0px;">Speed of train - 5 km/hr = 0.0125 km/s * 3600</p><p style="margin-left:0px;">Speed of train - 5 km/hr = 45 km/hr</p><p style="margin-left:0px;">Now, add 5 km/hr to both sides to find the speed of the train:</p><p style="margin-left:0px;">Speed of train = 45 km/hr + 5 km/hr = 50 km/hr</p><p style="margin-left:0px;">So, the speed of the train is 50 km/hr.</p>
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