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### Setting Up Proportions and Unit Conversions

```
Date: 7/25/96 at 20:36:31
From: Anonymous
Subject: Setting Up Proportions and Unit Conversions

If you can run 100 meters in 10 seconds, how long, in days, hours, and
minutes, does it take you to run 12,800,000 meters?
```

```
Date: 7/26/96 at 0:38:13
From: Doctor Paul
Subject: Re: Setting Up Proportions and Unit Conversions

Let's set up a proportion:

100 meters      12,800,00 meters
---------- =    ----------------
10 seconds         x seconds

x = 1,280,000 seconds.  Now we have to convert that to days:

1 hour           1 day
1,280,000 seconds    x   ------------  x   --------
3600 seconds      24 hours

so that's equal to 14.814 days.  Let's now convert .814 days into
hours:

.814 day       1 day
--------  =   -------
x hours      24 hours

so .814 day = 19.536 hours

So right now we have 14 days, 19.536 hours.  We need to convert .536
hours into minutes..

.536 hours       1 hour
---------- =     -------
x minutes     60 minutes

x = 32.16 minutes.

Since your answer doesn't want seconds we round that to 32 minutes.

14 days, 19 hours, 32 minutes.

-Doctor Paul,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Ratio and Proportion
Middle School Word Problems

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