Question

A cyclist took 30 minutes to cover a 20 km trip. His speedometer being defective, he still wants to know his performance.A) Calculate its average speed in km / h.B) The cyclist claims that he has reached peak speeds of 50km / h. Is it possible

Answer 1

We are given that a cyclist covers a distance of 20 km in 30 minutes. To determine the average speed we will use the following formula:

`v=(d)/(t)`

Where:

`\begin{gathered} d=\text{ distance} \\ t=\text{ time} \end{gathered}`

Since we desire to obtain the speed in units of km/h we need to convert the 30 minutes into hours. To do that we will use the following conversion factor:

`60\min =1h`

Multiplying by the conversion factor we get:

`30\min *(1h)/(60\min )=0.5h`

Now we substitute in the equation for speed:

Now we solve the operations:

Part B. The average speed is 40 km/h. Since the average speed is the mean of the speed of the cyclist it is possible that a peak of 50 km/h could be reached.