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CAHSEE Math: Algebra and Functions Drill 5, Problem 3. Solve the equation.
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CAHSEE Math 2.3 Measurement and Geometry 169 Views
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Description:
CAHSEE Math Measurement and Geometry Drill 2, Problem 3. How far apart in kilometers is the destination away from the starting point?
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?
Full Transcript
- 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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