SOLUTION: 1. A student pilot was required to fly to an airport and then return. The average speed on the way to the airport was 115mph, and the average speed returning was 172.5mph. Find the

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Question 174197: 1. A student pilot was required to fly to an airport and then return. The average speed on the way to the airport was 115mph, and the average speed returning was 172.5mph. Find the distance between the two airport if the total flying time was 5 hrs.
2.2x/3-11/2=-3/2
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
1. A student pilot was required to fly to an airport and then return.
The average speed on the way to the airport was 115mph, and the average speed returning was 172.5mph.
Find the distance between the two airports if the total flying time was 5 hrs.
------------------------------
To DATA:
rate = 115 mph ; distance = x miles ; time = d/r = x/115 hrs
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From DATA:
rate = 172.5 mph ; distance = x miles ; time = d/r = x/172.5 hrs
----------------------------
Equation:
time + time = 5 hrs.
x/115 + x/172.5 = 5
(172.5x + 115x) = 115*172.5*5
287.5x = 115*172.5*5
x = 345 miles (distance between the airports)
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Cheers,
Stan H.