Answer: It will take 1.07 hour for the shuttle to overtake the satellite in 599 miles.
Step-by-step explanation:
Since we have given that
Distance between a space shuttle and a damaged satellite = 799 miles
Speed of shuttle = 560 miles per hour
Speed of satellite = 186 miles per hour
Since they move in the same direction.
So, Relative speed = 560+186=746 miles per hour
We need to find the time taken by shuttle to overtake the satellite.
So, time taken would be
Distance would be
Hence, It will take 1.07 hour for the shuttle to overtake the satellite in 599 miles.