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?
:
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 = {{{200/780}}}
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
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total dist =199.99 ~ 200 km