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

       ⇒  $Time = \frac{Distance}{Speed}$

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

                  ⇒ $\frac{200_.ft}{1_.s}*\frac{3600_.s}{1_.hr}*\frac{1_.mi}{5280_.ft}=136.36_. mi/hr$

Now let's solve:

   $Time = \frac{Distance}{Speed}=\frac{10000_.mi}{136.36.mi/hr} =73.33_.hrs$

Answer: 73.33 hrs (estimated)