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CAHSEE Math 2.3 Measurement and Geometry 169 Views


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CAHSEE Math Measurement and Geometry Drill 2, Problem 3. How far apart in kilometers is the destination away from the starting point?

Language:
English Language

Transcript

00:03

Here’s your shmoop du jour…

00:05

A Trekkie needs to get to Comic-Con by 2 o’clock so he doesn’t miss Patrick Stewart’s big speech.

00:11

It takes his car, going at an average speed of 45 mph, 12 minutes to reach its destination

00:17

from a designated starting point.

00:19

How far apart in kilometers is the destination away from the starting point?

00:25

Here are the potential answers…

00:30

Ok, what is this question asking?

00:33

It’s one of those distance-time-rate problems that we hold so near and dear to our hearts.

00:37

Since we know miles per hour, and we’re given another piece of information that’s

00:41

in terms of minutes…

00:43

…it would probably be a good idea to get everything on the same page.

00:47

If our Trekkie friend is going 45 miles per hour, how fast is he traveling per minute?

00:53

Well, he’s going 45 miles in 60 minutes…

00:57

…so we’re looking at 45-sixtieths… or three-fourths… of a mile in one minute.

01:02

It takes him 12 minutes to reach his destination…

01:05

…and 12 times 3/4 equals 9… so he traveled 9 miles.

01:09

But we can’t live long and prosper just yet. Let’s not fall for choice C, which

01:14

is clearly trying to catch us in a Vulcan trap.

01:17

The question is asking for kilometers, not miles.

01:21

We’re told that 1 mile is about 1.6 kilometers…

01:24

…so let’s multiply 9 by 1.6… to get 14.4 kilometers.

01:28

Our answer is D.

01:29

As in, “Deep Space Nine.”

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