A cyclist rides her bike at a rate of 10 meters per second. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 4 hours? Do not round your answers.

This rate in kilometers per hour is: 36 kilometers per hour. Also, the cyclist will travel 144 km in 4 hours.

Step-by-step explanation:

In order to find the rate in kilometers per hour, you have to consider that 1 meter per second is equal to 3.6 kilometers per hour and you can use a rule of three with this information:

 1 meter per second     →    3.6 kilometers per hour

10 meters per second   →                      x

x=(10*3.6)/1=36 kilometers per hour

Now, you can use the formula to calculate speed and solve for the distance:

speed=distance/time

36=distance/4

distance=36*4

distance=144 km

According to this, the answer is that this rate in kilometers per hour is: 36 kilometers per hour. Also, the cyclist will travel 144 km in 4 hours.