Let's use the formula: time = distance / speed.
Let's assume the distance from Indianapolis to Las Vegas is D miles.
The time it takes to fly from Indianapolis to Las Vegas at 320 mph is D / 320.
The time it takes to fly from Las Vegas to Indianapolis at 280 mph is D / 280.
The total travel time is 3 hours, so we have the equation: D / 320 + D / 280 = 3.
Now, we can solve for D and find the flying time from Indianapolis to Las Vegas.