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A cyclist rides her bike at a rate of 12 meters per second. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 3 hours? Do not round your answers.

Respuesta :

calculista

Answer:

Part 1) The rate is [tex]43.2\frac{km}{h}[/tex]

Part 2) [tex]129.6\ km[/tex]

Step-by-step explanation:

Part 1)

we know that

A cyclist rides her bike at a rate of 12 meters per second

Remember that

1 hour=3,600 seconds

1 kilometer=1,000 meters

therefore

[tex]12\frac{m}{sec} =\frac{(12/1,000)}{(1/3,600)}=\frac{12*3,600}{1,000}=43.2\frac{km}{h}[/tex]

Part 2) How many kilometers will the cyclist travel in 3 hours?

using proportion

[tex]\frac{43.2}{1}\frac{km}{h}=\frac{x}{3}\frac{km}{h}\\ \\x=43.2*3\\ \\x=129.6\ km[/tex]