SOLUTION: An airliner leaves Phoenix traveling at an average rate of 420 mph. Thirty minutes later, a second airliner leaves Phoenix traveling along a parallel route. If the second plane ove

Question 370897: An airliner leaves Phoenix traveling at an average rate of 420 mph. Thirty minutes later, a second airliner leaves Phoenix traveling along a parallel route. If the second plane overtakes the first at a point 1680 miles from Phoenix, find its rate. I need help creating an equation to my word problem as well as getting the solution. Thanks
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
An airliner leaves Phoenix traveling at an average rate of 420 mph.
Thirty minutes later, a second airliner leaves Phoenix traveling along a parallel route.
If the second plane overtakes the first at a point 1680 miles from Phoenix, find its rate.
:
Convert 30 min to .5 hrs
:
Let r = speed of the 2nd plane
:
Write a time equation, time = dist/speed
:
1st plane time = 2nd plane time + .5 hrs
= + .5
4 - .5 = 1680/r
3.5r = 1680
r = 1680/3.5
r = 480 mph
:
:
You can check this solution by finding the actual travel time of each
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