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A train is moving with uniform velocity on a straight track. A boy moving at 4 km/h due east observes that the train is moving due north. Another boy moving at 1 km/h due south claims that the train is moving towards north-east. What is the speed of the train in ground frame ?
Using the first point it can be said that the velocity of the train and the boy along east are the same. So the velocity of the train is 4 km/h due east. Using the second part it can be determined that the velocity along north and east are same(no angle given by boy implies the train is moving at an angle of 45). SO the velocity is 4km/h due north and the same due east.
the answer is 5km/hr/
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