Question

there are 60 mintnutes in one hour and 60 seconds in one minute using this imformation explain how you could convert 20 miles per hour to feet per second

Answer 1

Unit Analysis

Unit analysis is a helpful tool we can use to convert units.

All we have to do is multiply the original value by a fraction, to cancel out the units that we don't want.

Solving the Question

We're given:

• Change
  `\frac{20\hspace{4}miles}{hour}` to
  `\frac{x\hspace{4}feet}{second}`

There are a couple things we need to know before we tackle this question:

• 5280 in 1 mile:
  `\frac{5280\hspace{4}feet}{mile}`
• 60 seconds in 1 minute:
  `\frac{60\hspace{4}seconds}{minute}`
• 60 minutes in 1 hour:
  `\frac{60\hspace{4}minutes}{hour}`

Step 1 ⇒ Multiply
`\frac{20\hspace{4}miles}{hour}` by
`\frac{5280\hspace{4}feet}{mile}` to change miles to feet:

`\frac{20\hspace{4}miles}{hour}*\frac{5280\hspace{4}feet}{mile}\\\\= \frac{20*5280\hspace{4}feet}{hour}\\\\= \frac{105600\hspace{4}feet}{hour}`

Step 2 ⇒ Multiply
`\frac{105600\hspace{4}feet}{hour}` by
`\frac{hour}{60\hspace{4}minutes}` to change hours to minutes:

`\frac{105600\hspace{4}feet}{hour}*\frac{hour}{60\hspace{4}minutes}\\\\=\frac{105600\hspace{4}feet}{60 minutes}\\\\=\frac{1760\hspace{4}feet}{minute}`

Step 2 ⇒ Multiply
`\frac{1760\hspace{4}feet}{minute}` by
`\frac{minute}{60\hspace{4}seconds}` to change minutes to seconds:

`\frac{1760\hspace{4}feet}{minute}*\frac{minute}{60\hspace{4}seconds}\\\\= \frac{1760\hspace{4}feet}{60\hspace{4}seconds}\\\\= \frac{29.3\hspace{4}feet}{second}`

Answer

`\frac{29.3\hspace{4}feet}{second}`