Question

A cyclist rides her bike at a rate of 9 kilometers per hour. What is this rate in kilometers per minute? How many kilometers will the cyclist travel in 2 minutes? Do not round your answers.

Answer 1

First, close your mouth.
Second, how many minutes are in an hour?

Answer 2

60 minutes.

Answer 3

Good, now how would you express 9 kilometers per hour in short form?

Answer 4

9 km?

Answer 5

You forgot the hour
Anyway it would be 9km/hour
So something like this:
\[9\frac{ km }{ hr }\]
You have to change it into minutes so you have to eliminate the hour
How would you do that? Take a guess

Answer 6

Would you multiply it by itself?

Answer 7

Good! That is correct. You will multiply it.
So how would we write the fraction we will multiply such that:
\[9\frac{ km }{ hr } \times \frac{ hr }{\min} = 9\frac{ km }{ \min }\]

Answer 8

Im sorry, disregard the 9 after the equal sign

Answer 9

This is the correct one.
\[9\frac{ km }{ hr }×\frac{ hr }{ \min }= ?\frac{ km }{ \min }\]

Answer 10

Is that all needed for the rate? Would we have to divide 9 by 60 mins?

Answer 11

Yep so you multiply it by 1/60 to find the rate

Answer 12

3/20? and in decimal form its .15?

Answer 13

That's right
Now find out how many km did the cyclist travel in two minutes

Answer 14

multiplying the rate by 2 isn't going to give me the answer right?

Answer 15

nope, i think you gotta divide it

Answer 16

But it doesnt make sense for some reason

Answer 17

I divided 3/20 and got 1/60

Answer 18

I think you should multiply it by 2

Answer 19

.3?

Answer 20

That is what i am thinking, but i need to confirm. Give me a second

Answer 21

0.3 is correct.
You can do it this way
2min of 1 hour is 1/30 hr
divide 9/30
You get 0.3km

Answer 22

Thank you for confirming it and helping me out!!

Answer 23

No problem!