SOLUTION: An aircraft 200 kilometers away is flying toward an air base at 350 kilometers per hour. How long will it take a plane flying from the base at 450 kilometers per hour to intercept

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Question 1138084: An aircraft 200 kilometers away is flying toward an air base at 350 kilometers per hour. How long will it take a plane flying from the base at 450 kilometers per hour to intercept the first aircraft?
Answer by ikleyn(52807) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let t be the time to intercept, in hours.


Then the aircraft will cover the distance of 350*t kilometers,
while the plane will cover 450*t kilometers.


The sum of these distances is 200 kilometers, which gives you an equation


    350*t + 450*t = 200.


Simplify and solve for t :


     800*t = 200

     t = 200%2F800 = 1%2F4 of an hour = 15 minutes.    AMSWER

Solved.

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