Question

a car covers a distance of 5 kilometre in 20 minutes find the velocity of the car in A) kilometre per minute B) metre per second C) metre per minute D) kilometre per hour

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{s}=5\mathrm{km}=5000\mathrm{m} \\ \mathrm{t}=20\min =20\times 60\mathrm{s} \\ \mathrm{or},\mathrm{t}=1200\mathrm{s} \\ \mathrm{or},\mathrm{t}=\frac{20}{60}\mathrm{hour}=\frac{1}{3}\mathrm{h} \\ \mathrm{velocity},\mathrm{v}=\frac{\mathrm{s}}{\mathrm{t}} \\ {\mathrm{v}}_1\left(\mathrm{in}\mathrm{km}/\min \right)=\frac{5}{20}\mathrm{km}/\min \\ {\mathrm{v}}_1=0.25\mathrm{km}/\min \\ {\mathrm{v}}_2\left(\mathrm{in}\mathrm{m}/\mathrm{s}\right)=\frac{5000}{1200}\mathrm{m}/\mathrm{s} \\ {\mathrm{v}}_2=4.167\mathrm{m}/\mathrm{s} \\ {\mathrm{v}}_3\left(\mathrm{in}\mathrm{m}/\min \right)=\frac{5000}{20}\mathrm{m}/\min \\ {\mathrm{v}}_3=250\mathrm{m}/\min \\ {\mathrm{v}}_4\left(\mathrm{in}\mathrm{km}/\mathrm{h}\right)=\frac{5}{{\displaystyle \raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}}\mathrm{km}/\mathrm{h} \\ {\mathrm{v}}_4=5\times 3=15\mathrm{km}/\mathrm{h} \end{gathered}$$