Word Problem from and Intermediate Algebra Class and we are doing Functions righ

Question

Word Problem from and Intermediate Algebra Class and we are doing Functions right now: A research company uses employees' computers to process data while they are not working. They are researching processor speeds. An intel Core 2 Quad processor can process a data file 15 seconds faster than the Intel Core 2 Duo, but both processors working together can do it in 18 seconds. How long does it take each processor to process the file? Word Problem from and Intermediate Algebra Class and we are doing Functions right now: A research company uses employees' computers to process data while they are not working. They are researching processor speeds. An intel Core 2 Quad processor can process a data file 15 seconds faster than the Intel Core 2 Duo, but both processors working together can do it in 18 seconds. How long does it take each processor to process the file?

Explanation / Answer

Let Q represent the Intel Core 2 Quad Processor and D represent the Intel Core 2 Duo Processor. Q is 15 times faster than D: -> 15Q = D This file takes 18 seconds to be processes by both processors: Q + D = 18sec Substituting D in this equation with 15Q we get: Q + 15Q= 18sec 16Q = 18sec Computer: (16Q)/16 = (18/16) Q = 1.125 seconds (This is how long it takes Quad Processor to process this file) Plugging this value for Q in the equation above we get: 15Q = D 15 (1.125 sec) = D 16.875 sec = D (This is how long it takes the Duo Processor to process this file) Answers: Q = 1.125seconds D= 16.875 seconds

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