Question

A space shuttle and a damaged satellite are 799 mi apart. The shuttle
travels at 560 mi/h, and the satellite at 186 mi/hr, in the
same direction. How long (hr) will it take the shuttle to
overtake the satellite, and in what distance (mi)?

Answer 1

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

$\dfrac{Distance}{Speed}=\dfrac{799}{746}=1.07\ hours$

Distance would be

$560\times 1.07\\\\=599\ miles$

Hence, It will take 1.07 hour for the shuttle to overtake the satellite in 599 miles.