III
MODULE 2. NUMBERS AND QUANTITIES
Converting between compound units: Advanced
A car is traveling at a rate of 35 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours?
round your answers.

Respuesta :

Answer:

120km/h

600km in 5 hours.

Step-by-step explanation:

1000 meters is equal to 1 kilometer. 1 meter is equal to .001 kilometer.

You can set up an equation like this to solve for the car's rate in kilometers.

[tex]\frac{1 km}{1000 m} = \frac{x km}{35m}[/tex]  or  [tex]\frac{1000 m}{1000 km} = \frac{x m}{35km}[/tex].

Now crossmultiply either fraction to solve for x.

[tex]\frac{1 km}{1000 m} = \frac{x km}{35m}\\\frac{1 km}{1000 m}*35 = \frac{x km}{35m}*35\\\frac{35 km}{1000 m} = xkm[/tex]

The car is going at .035km/sec. Now we need to multiply this to get kilometers per hour. There are 60 seconds in a minute and there are 60 minutes in a hour.

[tex]\frac{35}{1000} * 60 * 60[/tex]

The car travels at 120km per hour.

Since we now know the rate in kilometers per hour. We can multiply the rate by 5 since the question asks how many kilometers the car will travel in 5 hours.

120 * 5 = 600

The car will travel 600km in 5 hours.