Question

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.

Answer 1

Answer:

Part 1) The rate is $43.2\frac{km}{h}$

Part 2) $129.6\ km$

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

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

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

using proportion

$\frac{43.2}{1}\frac{km}{h}=\frac{x}{3}\frac{km}{h}\\ \\x=43.2*3\\ \\x=129.6\ km$