To solve this problem, we need to consider the effect of the wind on the aircraft's speed and calculate the maximum distance the pilot can fly north and return within 2 hours.
Let's break down the problem into steps:
Determine the effective ground speed of the aircraft: The ground speed is the speed at which the aircraft is moving relative to the ground. It can be calculated by subtracting the wind speed from the aircraft's airspeed. Ground speed = Airspeed - Wind speed In this case, the airspeed of the aircraft is given as 125 mph, and the wind is blowing south at 20 mph. Ground speed = 125 mph - 20 mph = 105 mph
Calculate the total time available for the round trip: The pilot needs to complete the round trip within 2 hours. Since the outward and return journeys take the same amount of time, we can divide the available time by 2. Time for the round trip = 2 hours / 2 = 1 hour
Calculate the maximum distance the pilot can fly north in 1 hour: Distance = Speed × Time The maximum distance the pilot can fly north is equal to the ground speed multiplied by the time available for the round trip. Distance = Ground speed × Time for the round trip Distance = 105 mph × 1 hour = 105 miles
Therefore, the pilot can fly a maximum distance of 105 miles north and still have enough time to return within 2 hours.