Question

If a satellite can travel 200ft per second, how many hours will it take the satellite to travel 10,000 miles?

Answer 1

Let's examine what the problem gives us:

• Distance ⇒ 10000 miles
• Time ⇒ 200 ft

What does the problem want:

⇒ time (in hours)

Must find the relationship between distance, speed, and time:

⇒ Distance = Speed * Time

⇒
`Time = (Distance)/(Speed)`

Let's convert some units:

• We want the time in hours and distance in miles, but we have speed in feet per sec, and we want miles per hour

⇒ let's convert

⇒
`(200_.ft)/(1_.s)*(3600_.s)/(1_.hr)*(1_.mi)/(5280_.ft)=136.36_. mi/hr`

Now let's solve:

`Time = (Distance)/(Speed)=(10000_.mi)/(136.36.mi/hr) =73.33_.hrs`

Answer: 73.33 hrs (estimated)