66.0k views
4 votes
An aircraft carrier left Diego Garcia one

hour before a container ship. The vessels
traveled in opposite directions. The
container ship traveled at 5 mph for 13
hours. After this time the vessels were
485 mi, apart. Find the aircraft carrier's
speed


PLEASE HELP​

1 Answer

1 vote

Final answer:

The speed of the aircraft carrier is 420 mph.

Step-by-step explanation:

To find the speed of the aircraft carrier, we can use the formula:
Distance = Speed x Time

The container ship traveled at 5 mph for 13 hours, so the distance covered by the container ship is:
Distance = Speed x Time
Distance = 5 mph x 13 hours
Distance = 65 miles

The vessels were 485 miles apart after 13 hours, and we know that the distance covered by the container ship is 65 miles. Therefore, the distance covered by the aircraft carrier is:
Distance covered by aircraft carrier = Total distance - Distance covered by container ship
Distance covered by aircraft carrier = 485 miles - 65 miles
Distance covered by aircraft carrier = 420 miles

To find the speed of the aircraft carrier, we can rearrange the formula:
Speed = Distance / Time
Speed = 420 miles / 1 hour
Speed = 420 mph

Therefore, the speed of the aircraft carrier is 420 mph.

User ANemati
by
3.8k points