Question

A car is travelling at the average speed of 50 km/hr. How much distance would it travel in 12 minutes?

Answer 1

Distance (in km)	50	x
Time (in minute)	60	12

Let the distance be x km.
$$\begin{gathered} \mathrm{If}\mathrm{the}\mathrm{time}\mathrm{taken}\mathrm{is}\mathrm{less},\mathrm{the}\mathrm{distance}\mathrm{covered}\mathrm{will}\mathrm{also}\mathrm{be}\mathrm{less}. \\ \mathrm{Therefore},\mathrm{it}\mathrm{is}\mathrm{a}\mathrm{direct}\mathrm{variation}. \\ 50:x=60:12 \\ \Rightarrow \frac{50}{x}=\frac{60}{12} \\ \mathrm{Applying}\mathrm{cross}\mathrm{muliplication},\mathrm{we}\mathrm{get}: \\ x=\frac{50\times 12}{60} \\ =10 \\ \mathrm{Thus},\mathrm{the}\mathrm{required}\mathrm{distance}\mathrm{will}\mathrm{be}10\mathrm{km}. \end{gathered}$$