document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #173071 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! An aircraft 200 kilometers away is flying toward an air base at 350 kilometers per hour. \n" ); document.write( " How long will it take a plane flying from the base at 430 kilometers per hour to intercept the first aircraft? \n" ); document.write( ": \n" ); document.write( "Let t = time until intercept \n" ); document.write( ": \n" ); document.write( "At intercept, they will have traveled a total of 200 km \n" ); document.write( ": \n" ); document.write( "Write a distance equation: Dist = speed * time \n" ); document.write( ": \n" ); document.write( "350t + 430t = 200 \n" ); document.write( "780t = 200 \n" ); document.write( "t = \n" ); document.write( "t = .2564 hrs which is .2564*60 = 15.4 minutes \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution by finding the dist of each aircraft: \n" ); document.write( ".2564*350 = 89.74 km \n" ); document.write( ".2564*430 = 110.25 \n" ); document.write( "------------------- \n" ); document.write( "total dist =199.99 ~ 200 km \n" ); document.write( " |