Question

The cruising speed of an airplane is 150 mph. You plan to hire the plan for a 3 hour sightseeing trip. You instruct the pilot to fly as far north as she can and still return to the airport at the end of the allotted time. How far north should the pilot fly if the wind is blowing from the north at 30mp.

Answer 1

since time = distance/speed, you have

d/(150-30) + d/(150+30) = 3

Now just solve for d