Question

As part of flight traning, a student pilot was required to fly to an airport and then return. The average speed on the way to the airport was 100 mph, and the average speed returning was 150 mph. Find the distance between the two airports if the total flight time was 5 h.

Answer 1

The distance between the two airports is 300 miles.

Step-by-step explanation:

To find the distance between the two airports, we can use the formula: distance = speed * time. Let's represent the distance to the airport as D. The time it takes to get to the airport is given by D/100, and the time it takes to return is given by D/150. Since the total flight time is 5 hours, we can write the equation: D/100 + D/150 = 5. To solve for D, we can find a common denominator of 300 and simplify the equation to: 3D + 2D = 1500. Combining like terms, we get: 5D = 1500. Dividing both sides by 5, we find that D = 300. Therefore, the distance between the two airports is 300 miles.