Answer :
Answer:
- The car's rate in kilometers per hour is 108 kilometers per hour
- The car will travel 540 kilometers in 5 hours
Step-by-step explanation:
Here is the complete question:
A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not round your answers.
Step-by-step explanation:
- To determine the car's rate in kilometers per hour, we will convert 30 meters per second to kilometer per hour.
1000 meters = 1 kilometer
∴ 1 meter = 0.001 kilometer
3600 seconds = 1 hour
∴ 1 second = 1/3600 hour
Therefore,
[tex]30 meters/ second[/tex] = [tex]\frac{30 \times 0.001 kilometer}{1/3600 hour}[/tex]
= [tex]\frac{30 \times 0.001 \times 3600 kilometers}{1 hour}[/tex]
= 108 kilometers / hour
Hence, the car's rate in kilometers per hour is 108 kilometers per hour.
- To determine how many kilometers the car will travel in 5 hours, that is we are to determine the distance covered by the car in 5 hours.
From the formula
Speed = Distance / Time
∴ Distance = Speed × Time
(NOTE: Speed is also known as rate)
Speed (Rate) = 108 kilometers / hour
Time = 5 hours
∴ Distance = Speed × Time gives
Distance = 108 × 5
Distance = 540 kilometers
Hence, the car will travel 540 kilometers in 5 hours.