Final answer:
Using the formula for speed, we calculate that the storm will take 5.5 hours to hit the shore, which means that the storm will arrive at 7:45 p.m. The provided options did not include the correct time.
Step-by-step explanation:
To calculate when the storm will hit shore, we can use the formula Speed equals distance divided by time. The storm is located 275 miles offshore and is moving at a speed of 50 miles per hour. To find the time it will take for the storm to reach shore, we divide the distance by the speed:
Time = Distance ÷ Speed
Time = 275 miles ÷ 50 miles per hour = 5.5 hours.
Since it's currently 2:15 p.m., we add the travel time of 5.5 hours to the current time to determine what time the storm will hit shore:
2:15 p.m. + 5 hours 30 minutes = 7:45 p.m.
Therefore, if the storm keeps moving in the same direction and at the same speed, the storm will hit shore at 7:45 p.m. None of the options provided (A) 6:15 p.m., (B) 7:15 p.m., (C) 8:15 p.m., and (D) 9:15 p.m. are correct.