Final answer:
It will take approximately 0.9009 hours or 54 minutes for two planes heading in opposite directions from Chicago O’Hare airport to be 1000 miles apart, given that one travels east at 580 mph and the other west at 530 mph.
Step-by-step explanation:
The question involves calculating the time it will take for two planes heading in opposite directions from the same point to be a certain distance apart. The first plane is traveling east at 580 miles per hour, and the second plane is traveling west at 530 miles per hour. Since they are moving in opposite directions, their relative speed is the sum of their individual speeds.
Therefore, the relative speed is 580 miles per hour + 530 miles per hour = 1110 miles per hour. To find out how many hours it will take for the two planes to be 1000 miles apart, we use the distance formula: Distance = Speed × Time. Solving for Time, we get Time = Distance / Speed, which equals 1000 miles / 1110 miles per hour.
Time = 0.9009 hours approximately. To express this time in minutes, we multiply by 60 minutes per hour: 0.9009 hours × 60 minutes per hour = 54.054 minutes, which we can round to 54 minutes.