SOLUTION: A commuter plane provides transportation from an international airport to surrounding cities. One commuter plane averaged 280 mph flying to a city and 120 mph returning to the inte
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Question 398684: A commuter plane provides transportation from an international airport to surrounding cities. One commuter plane averaged 280 mph flying to a city and 120 mph returning to the international airport. The total flying time was 3 h. Find the distance between the two airports. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A commuter plane provides transportation from an international airport to surrounding cities.
One commuter plane averaged 280 mph flying to a city and 120 mph returning to the international airport.
The total flying time was 3 h. Find the distance between the two airports.
:
Let d = distance between airports
:
Write a time equation, time = dist/speed
: + = 3
Multiply by LCM of 280 and 120, 840:
840* + 840* = 3(340)
Clear the denominators, and you have
3d + 7d = 2520
10d = 2520
d = 252 mi between airports
;
:
Check this, find the time for each trip:
252/280 + 252/120 =
.9 + 2.1 = 3 hrs
