Question

a car is traveling at a rate of 45 meters per second. what is the car’s rate in kilometers per hour? how many kilometers will the car travel in 3 hours? do not round your answers.
rate: (\frac{km}{h})
distance traveled in 3 hours: (km)

Explanation:

Step1: Convert meters per second to kilometers per hour

We know that 1 kilometer = 1000 meters and 1 hour = 3600 seconds. To convert 45 meters per second to kilometers per hour, we use the conversion factors. First, convert meters to kilometers: 45 meters = $\frac{45}{1000}$ kilometers. Then convert seconds to hours: 1 second = $\frac{1}{3600}$ hours. So the rate in kilometers per hour is $45\times\frac{3600}{1000}$.
$45\times\frac{3600}{1000} = \frac{45\times3600}{1000} = \frac{162000}{1000} = 162$ km/h.

Step2: Calculate distance traveled in 3 hours

We know that distance = rate × time. The rate is 162 km/h and the time is 3 hours. So the distance is $162\times3 = 486$ km.

Answer:

Rate: 162 km/h
Distance traveled in 3 hours: 486 km