Question

What is the speed of a car that takes 1.5 hours to travel 75 kilometers?

Answer 1

Given,

The time it takes for the car to travel, t=1.5 hrs

The distance travelled by car, d=75 km

1 hr is equal to 3600 s.

Thus, the time it takes for the car to cover the given distance in seconds is,

`\begin{gathered} t=1.5*3600 \\ =5400\text{ s} \end{gathered}`

1 km is equal to 1000 m

Thus the distance covered by the car in meters is,

`\begin{gathered} d=75*1000 \\ =75*10^3 \end{gathered}`

The speed of an object is given by the ratio of the distance covered and the time duration.

Thus the speed of the car is given by,

`s=(d)/(t)`

On substituting the known values,

`\begin{gathered} s=(75*10^3)/(5400) \\ =13.89\text{ m/s} \end{gathered}`

Thus the speed of the car is 13.89 m/s