Question

A car travels at a constant speed of 70 mph along a motorway. The distance, d,
travelled is proportional to the time, t, the car has been driven.
(c) How long does it take the car to travel:
(i) 2 miles?

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{Distance}\mathrm{is}\mathrm{proportional}\mathrm{to}\mathrm{time} \\ \mathrm{So}, \\ \mathrm{Distance}=\mathrm{speed}\times \mathrm{time} \\ \mathrm{Distance}=2\mathrm{miles},\mathrm{speed}=70\mathrm{mph} \\ 2=70\times \mathrm{time} \\ \mathrm{time}=\frac{2}{70}=\frac{1}{35}\mathrm{hours} \\ =\frac{60}{35}\mathrm{minutes}=1.71\mathrm{minutes}.\mathrm{ANS}... \end{gathered}$$

Regards