Question

An object moves at a rate of 9,400 inches each week. How many feet does it move per minute?

Answer 1

To answer this question, we need to transform each of the values into the corresponding other units:

• Inches ---> Feet

,

• Week ---> minutes

And we also have here a ratio:

• Inches/week ---> Feet/minute.

Then we can proceed as follows:

Inches to Feet

We know that the conversion between inches and feet is:

`1ft=12in`

Then

`1in=(1)/(12)ft`

If we have 9,400 inches, then:

`9400in=(9400)/(12)ft\Rightarrow9400in=783ft+(1)/(3)ft=783.33333333ft`

Week to minutes

We know that:

`1\text{hour}=60\min`

In one day we have 24 hours, then:

`24\text{hours}=24\cdot60\min =1440\min`

Then we have 1440 minutes in a day. A week has 7 days. Therefore, we will have:

`1440(\min)/(day)\cdot7days=10080\min`

Therefore, we have that there are 10,080 minutes in one week.

Now, to find the ratio of feet per minute, we need to divide:

`(783(1)/(3)ft)/(10080\min)=0.0777116402116(ft)/(\min )`

In summary, we can say that the object moves:

`0.0777116402116(ft)/(\min )`

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