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Problem:

  • 50 miles/hour = ? feet/second

Conversions Factors:

  • 1 mile = 1760 yards
  • 1 yard = 3 feet
  • 1 minute = 60 seconds
  • 1 hour = 60 minutes

The first step I would do is combine the conversion factors to go from unit you are given to unit you want. Remember, units can cancel just like numbers and variables can, when using a faction.


1 mile = 1760 yards and 1 yard = 3 feet

( 1 mile / 1760 yards ) x ( 1 yard / 3 feet ) = ( 1 mile / 5280 feet )

This can be rewritten as: 1 mile = 5280 feet


( 60 seconds / 1 minute ) x ( 60 minute / 1 hour ) = ( 3600 seconds / 1 hour )

This can be written as: 1 hour = 3600 seconds


Now if you have 50 miles/hour.

( 50 miles / hour ) x (1 hour / 3600 seconds ) = 50/3600 miles/second

( 50/3600 miles / second ) x ( 5280 feet / 1 mile ) = 264000/3600 feet/second


Simplify the fraction:

264000/3600 feet/second = 2640/36 ft/s ~= 73.33 ft/s


The answer is 73.33 ft/s. Try working this out on your own. When you can see the fractions written normally, versus the way they have to entered on this site, it can be a little confusing to follow. When you see them on paper, it begins to make sense why they are cancelling out.

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Wiki User

11y ago
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Wiki User

14y ago

50 m/1 h * 5280 ft/1 m = 264,000 feet

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Q: How do you convert 50 miles per hour into feet per hour?
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