A fighter plane, f, is told to intercept plane x which is 200 miles in front of f flying directly away from f at 500 mph. plane f is told it must intercept x in 6 minutes. how fast should f fly?

Question

Mathematics

Dominic Greene

11 May, 06:02

A fighter plane, f, is told to intercept plane x which is 200 miles in front of f flying directly away from f at 500 mph. plane f is told it must intercept x in 6 minutes. how fast should f fly?

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Landyn Li · Answer 1

Answer: 2500mph Reasoning: Since fighter plan f needs to intercept plane x flying away at 500mph and 200 miles in front, it should have a speed greater than 500mph. If f flies at 500mph, the distance of 200 miles would be constant. To cover the 200 miles in 6 minutes, it should fly at an additional speed of 2000mph over the speed of x, hence 2500mph (2000mph + 500mph).