document.write( "Question 777892: Radar detected on unidentified plane 5000 mi away, approaching at 700 mi/h. Fifteen minutes later an interceptor plane was dispatched, traveling at 800 mi/h. How long did it take the interceptor plane to reach the approaching plane?
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Algebra.Com's Answer #474320 by ankor@dixie-net.com(22740)\"\" \"About 
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Radar detected on unidentified plane 5000 mi away, approaching at 700 mi/h. Fifteen minutes later an interceptor plane was dispatched, traveling at 800 mi/h. How long did it take the interceptor plane to reach the approaching plane?
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\n" ); document.write( "We are dealing in mph, change 15 min to .25 hrs
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\n" ); document.write( "Let t = time for the interceptor to engage the target aircraft
\n" ); document.write( "then
\n" ); document.write( "(t+.25) = travel time of the target
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\n" ); document.write( "The distances traveled by the two aircraft at interception will equal 5000 mi
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\n" ); document.write( "Write a distance equation; dist = speed * time
\n" ); document.write( "800t + 700(t+.25) = 5000
\n" ); document.write( "800t + 700t + 175 = 5000
\n" ); document.write( "1500t = 5000 - 175
\n" ); document.write( "t = 4825/1500
\n" ); document.write( "t = 3.2167 hr or 3 + .267(60) = 3 hr 13 min to intercept
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\n" ); document.write( "Check this by finding the travel distance of each a/c
\n" ); document.write( "800 * 3.2167 = 2573 mi\
\n" ); document.write( "700 * 3.4667 = 2427 mi
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\n" ); document.write( "total dist: 5000 mi \n" ); document.write( "
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