a plane travelling 600 miles per hour is 30 miles from an airport at 4:58pm. At what time will it arrive at the airport

600 / 60 = 10 miles a minute

To determine the time the plane will arrive at the airport, we need to calculate the time it will take for the plane to travel the remaining 30 miles.

First, let's determine the distance traveled by the plane from 4:58 pm to the time it arrives at the airport. Since the plane travels at a speed of 600 miles per hour for some time, we can calculate the distance traveled in that time.

We know that the plane is 30 miles away from the airport at 4:58 pm. Let's assume it takes 't' hours for the plane to travel the remaining distance of 30 miles.

Distance traveled = speed × time
30 miles = 600 miles/hour × t

Now, let's solve the equation for 't':

30 miles = 600 miles/hour × t

Dividing both sides of the equation by 600 miles/hour:
t = 30 miles / 600 miles/hour
t = 0.05 hour

Since we're dealing with time in hours, 0.05 hour is equal to 0.05 × 60 = 3 minutes.

Therefore, it will take the plane 3 minutes to travel the remaining 30 miles.

Adding this time to the initial time of 4:58 pm, the plane will arrive at the airport at:
4:58 pm + 3 minutes = 5:01 pm.

So, the plane will arrive at the airport at 5:01 pm.