Question

A train, travelling at uniform speed takes 12hours to cover a distance of 2400km.express its speed in km/h and m/s.

Answer 1

$\underline{\underline{\bold{Question:}}}$

A train, travelling at uniform speed takes 12 hours to cover a distance of 2400 km . Express its speed in km/h and m/s.

$\underline{\bold{Solution:}}$

Given :

• The distance covered by the train = 2400 km.
• Time taken by the train = 12 hrs.

$\bold{\textsf{Let the speed of the train be x km per hr.}}\\\\\\\boxed{\bold{Distance=Speed{\times}Time}}\\\\\\\implies{\bold{2400=x{\times}12}}\\\\\\\implies{\bold{x=\dfrac{2400}{12}=200.}}$

• Speed of the train = 200 km per hr.

                             $\bold{=200{\times}\dfrac{1000}{3600}=\dfrac{500}{9}=55\dfrac{5}{9}m\:s^{-1}.}$

$\boxed{\boxed{\bold{Speed\:of\:train=200\:km\:h^{-1}=55\dfrac{5}{9}\:m\:s^{-1}.}}}$