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
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> 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
Log On
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) (Show Source):
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 = = of an hour = 15 minutes. AMSWER