Solveeit Logo

Question

Question: To a person, going eastward in a car with a velocity of 25 km/hr, a train appears to move towards no...

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 25325\sqrt{3} km/hr. The actual velocity of the train will be

A

25 km/hr

B

50 km/hr

C

5 km/hr

D

535\sqrt{3} km/hr

Answer

25 km/hr

Explanation

Solution

vT=vTC2+vC2v_{T} = \sqrt{v_{TC}^{2} + v_{C}^{2}}=(253)2+(25)2\sqrt{(25{\sqrt{3)}}^{2} + (25)^{2}}=1875+625\sqrt{1875 + 625}

=2500\sqrt{2500} = 25 km/hr