A car travels $283\dfrac{1}{2}$ km in $4\dfrac{2}{3}$ hours. How far does this car go in 1 hour, travelling at the same speed?

Given:

Total distance = $283\dfrac{1}{2}\text{ km} = \dfrac{567}{2}\text{ km}$

Total time = $4\dfrac{2}{3}\text{ hours} = \dfrac{14}{3}\text{ hours}$

Distance covered in 1 hour = ?

Distance covered in 1 hour = (Total distance) ÷ (Total time)

Substituting the values in above, we get:

Distance covered in 1 hour = $\dfrac{567}{2}\text{ km} ÷ \dfrac{14}{3}\text{ hours}$

$\begin{array}{ll} = \Big(\dfrac{567}{2} \times \dfrac{3}{14}\Big) \text{ km} & [\text{Reciprocal of } \dfrac{14}{3} \text{ is } \dfrac{3}{14}] \\ = \Big(\dfrac{81}{2} \times \dfrac{3}{2}\Big) \text{ km} & \text{[Simplifying 567 and 14 ⇒ Divide by 7]} \\ = \dfrac{81 \times 3}{2 \times 2}\text{ km} \\ = \dfrac{243}{4}\text{ km} \\ = 60\dfrac{3}{4}\text{ km} \end{array}$

∴ The distance covered in 1 hour = $60\dfrac{3}{4}$ km