To a person, going eastward in a car with a velocity of 25 Km/hr, a train appears to move towards north with a velocity of $25 \sqrt{3}$ Km/hr. The actual velocity of train will be:

25 Km/hr

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50 Km/hr

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5 Km/hr

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5 \sqrt{3} K m / h r

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Solution

The correct option is B 50 Km/hr
Given that,

The train is going north at a velocity of $25 \sqrt{3} k m / h$ and the car in going in an easterly direction at velocity $25 k m / h$

Now, Adding velocity of train in north and velocity of car in east, together

$R = \sqrt{{(25 \sqrt{3})}^{2} + {(25)}^{2}}$

$R = \sqrt{2500}$

$R = 50 k m / h$

Hence, the actual velocity of train is $50 k m / h$

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To a person, going eastward in a car with a velocity of 25 Km/hr, a train appears to move towards north with a velocity of 25√3 Km/hr. The actual velocity of train will be:

To a person, going eastward in a car with a velocity of 25 Km/hr, a train appears to move towards north with a velocity of $25 \sqrt{3}$ Km/hr. The actual velocity of train will be: