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Post-UTME Mathematics 2015 Objective — Question 2

Question 2 of 40 from the Post-UTME Screening (Post-UTME) Mathematics 2015 Objective paper, with the correct answer and a full explanation.

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The rate of consumption of fuel by a car is given by the expression 3v + 4800/v, where v is the speed of the car in km/h. The speed at which the rate of fuel consumption is least is

  • A. 30
  • B. 40Correct
  • C. 120
  • D. 1,600

Explanation

Minimizing 3v+4800/v: differentiate and set to zero, 3-4800/v²=0, v²=1600, v=40.

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