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 430 kilometers per hour to intercept

Question 234300: 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 430 kilometers per hour to intercept the first aircraft?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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 430 kilometers per hour to intercept the first aircraft?
:
Let t = time until intercept
:
At intercept, they will have traveled a total of 200 km
:
Write a distance equation: Dist = speed * time
:
350t + 430t = 200
780t = 200
t =
t = .2564 hrs which is .2564*60 = 15.4 minutes
;
:
Check solution by finding the dist of each aircraft:
.2564*350 = 89.74 km
.2564*430 = 110.25
-------------------
total dist =199.99 ~ 200 km
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