To calculate the distance traveled by each flight, we need to use the Distance Formula. It tells us that to find the distance traveled we need to multiply the rate r by the time t.
d=rt
Let's divide the above formula by r to isolate t.
d=rt ⇔ t=d/r
Let d be the distance traveled by each flight. The outbound flight averages 460 miles per hour and the return flight averages 500 miles per hour. Let's write an expression for the time taken in each flight.
Outbound Flight
Return Flight
d/460
d/500
The total flying time is the sum of the duration of both outbound and return flights. Moreover, we are told that the total flying time is 4.8 hours.
4.8=d/460+d/500
Let's solve the above equation to find the value of d.
