Question

a car travels 240km in 2hrs and a sprinter travels a 100m in 9.5s. which is traveling faster and by how much?

Answer 1

Given a car travels 240 km in 2 hrs.

Convert the km into meters and hrs into seconds.

$\begin{gathered} 1km\text{ = 1000 m} \\ 240\text{ km = 240}\times1000\text{ m} \\ 240km\text{ = 2,40,000 m} \end{gathered}$$\begin{gathered} 1\text{ hr = 60 minute} \\ 2\text{ hr = 2}\times60\times60\text{ second} \\ 2\text{ hr = 7}200\text{ second} \end{gathered}$

Calculate the speed of the car.

$\begin{gathered} \text{speed = }\frac{Dis\tan ce}{\text{time}} \\ \text{speed = }\frac{2,40,000}{7200} \\ \text{speed = 33.33 }\frac{m}{s} \end{gathered}$

Given a sprinter travels 100 m in 9.5 s.

$\begin{gathered} \text{speed = }\frac{100\text{ m}}{9.5\text{ s}} \\ \text{speed = }10.53\frac{m}{s} \end{gathered}$

Thus, the car travel fast than the sprinter by

$33.33\text{ m/s - 10.53 m/s = }22.8\text{ m/s}$