Statement A gives the correct general definition of average speed. Statement C is the standard formula for average speed when equal distances are covered at two speeds, which equals the harmonic mean of the speeds. Statement D is also true because when equal times are spent at each speed, the average speed simplifies to the arithmetic mean. Statement B is false because the arithmetic mean does not apply for equal-distance segments, and E is false since confusing equal-distance with equal-time cases leads to wrong answers. Therefore, A, C and D only are correct, corresponding to option C.
Option A:
Option A is incomplete as it lists only A and C and omits D, failing to mention the equal-time case where the arithmetic mean does apply. This makes the description of average speed patterns incomplete.
Option B:
Option B is incorrect because it includes E, which says there is no need to distinguish between equal-distance and equal-time cases, an assertion that contradicts typical exam traps. It therefore contains a false statement.
Option C:
Option C is correct since it distinguishes the definitions for general, equal-distance and equal-time situations and explicitly excludes B and E, which misapply or trivialise the conditions.
Option D:
Option D is wrong as it contains B, the false claim about arithmetic mean for equal-distance travel, and it omits A, so it both adds an error and leaves out the basic definition of average speed.
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