Question

A car is traveling at a rate of meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in hours? Do not round your answers.

Answer 1

- The car's rate in kilometers per hour is 108 kilometers per hour

- The car will travel 540 kilometers in 5 hours

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.

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,

`30 meters/ second` =
`(30 * 0.001 kilometer)/(1/3600 hour)`

=
`(30 * 0.001 * 3600 kilometers)/(1 hour)`

= 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.