Question 145769: Hello, my problem is:
An aircraft 200 kilometers away is flying toward an air base at 350 kilometers. How long will it take a plane flying from the base at 450 kilmeters per hour to interecept the first aircraft?
My question is:
How do I figure out the formula? Then once I have that, how do I figure the distance, time, and rate?
Found 2 solutions by ankor@dixie-net.com, ptaylor:
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. How long will it take a plane flying from the base at 450 kilmeters per hour to intercept the first aircraft?
:
Think of it this way. When the intercept takes place, the two aircraft will have traveled a total of 200 km
:
Let t = travel time of both aircraft
:
Write a distance equation: dist = speed * time
;
1st aircraft dist + 2nd aircraft dist = 200 km
:
350t + 450t = 200
:
800t = 200
t = 
t =  hr or 15 min to intercept
:
:
did this answer your questions?
Answer by ptaylor(2198)  (Show Source):
You can put this solution on YOUR website!
Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r (Note: these are givens--basic definitions. You don't need to figure these out but they should make sense)
Let t=time it takes the plane flying from base to intercept the first acft.
Now we know that when the distance the first plane flies plus the distance the second plane flies equals 200 km, the second plane will have intercepted the first plane. (In other words, they will be together.)
Distance first plane flies=350t (r*t)
Distance second plane flies=450t
So, our equation to solve is:
350t+450t=200 or
800t=200 divide both sides by 800
t=1/4 hr------------------------------answer
CK
In 1/4 hr, first plane travels 350*(1/4)=87.5 km
In 1/4 hr, second plane travels 450*(1/4)=112.5 km
87.5+112.5=200
200=200
Also, we know that the planes are approaching each other at the rate of 350+450 km/hr
Hope this helps---ptaylor
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