Question 56780
rate of air = a
going with wind ~> 28 + a
going against wind ~> 28 - a
Rate*Time = Distance
Distance/Rate = Time
500/(28 + a) = 340/(28 - a) Since the times are equivalent, you would would equal them together.
500(28 - a) = 340(28 + a)
14000 - 500a = 9520 + 340a
-840a = -4480
a = 16/3
Speed in still air is about 5.3333 mi/hr. We do not know the time measurement, but we can guess or propose it is in hours. The time comes to 15 hours.