SOLUTION: An aircraft 200km away is flying toward an air base at 350km/h. How long will it take a plane flying from the base at 450km/h to intercept the first aircraft?

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Question 1118167: An aircraft 200km away is flying toward an air base at 350km/h. How long will it take a plane flying from the base at 450km/h to intercept the first aircraft?

Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So starting at time t=0, the first plane distance, relative to the second plane starting point, is,
D%5B1%5D=200%2B350%2At
The second plane distance from starting point is,
D%5B2%5D=450t
Find t when D%5B1%5D=D%5B2%5D
200%2B350t=450t
200=100t
Solve for t (in hours).

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
I read the problem condition differently than the other tutor, and my solution is different.


    Two planes fly toward each other.  Therefore, their relative speed is the sum 


        350 km/h + 450 km/h = 800 km/h.


    So, the second plane will intercept the first plane in  200%2F800 hours =  1%2F4 of an hour = 15 minutes.