Question

A cyclist rides her bike at a speed of
10
meters per second. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in
4
hours? Do not round your answers.

Answer 1

This is about conversion factors.

Answer 2

yea

Answer 3

You need to know the conversion from meters to kilometers

Answer 4

Is work needed?

Answer 5

1000 meters equals a kilometer

Answer 6

Like, can I shorten steps?

Answer 7

\[\frac{10m}{\sec}*\frac{1km}{1000m}\]

Answer 8

cancel out meters sign and multiply the fractions

Answer 9

What do you get after this?

Answer 10

you can also ccross out the 10 at the top

Answer 11

\[\frac{1km}{1000s}\]

Answer 12

But we're not done yet; you have to change the denominator to hours, which calss for a new conversion
60s=1min
60min=1hr

1hr=3600s

Answer 13

\[\frac{1km}{1000s}*\frac{3600s}{1hr}\]

You can cancel out the seconds symbol and two zeroes:
\[\frac{36km}{10hr}\]

Answer 14

^oops that seems to be the first answer

Answer 15

Note: I am solving so much because you are offline and I cannot properly guide you when you are not present.

Answer 16

The second part of the question asks for the distance traveled in 4hrs

We can put what we know in the equation:\[Speed=\frac{Distance}{Time}\]

We know the speed and the time so we can easily plug them in to solve for Distance.

Answer 17

\[\frac{36km}{10hr}=\frac{Distance}{4hr}\]
Multiply both sides by 4hr
\[\frac{36km*4hr}{10hr}=Distance\]

Answer 18

cancel out hr from top and bottom
Also cancel out whatever you can in the fraction to get your answer

Your answer to the second part should be in kilometers.

Answer 19

OS might mess up the order of my posts. If you need any more explanations, just ask me.
Feel free to tag me in your future questions.
^_^

Answer 20

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