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In a flat race, A beats B by 15 m and C by 29 m. When B and C run over the same course together, B wins by 15 m. The length of the course is

Question and options

In a flat race, A beats B by 15 m and C by 29 m. When B and C run over the same course together, B wins by 15 m. The length of the course is
  1. 250 m
  2. 200 m
  3. 225 m
  4. 275 m

Answer and explanation

Correct answer: C - 225 m
B:C speed = (L-15):(L-29) = L:(L-15). Then L(L-29) = (L-15)^2, so L = 225 m.

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