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Discussion

In a 550 m race, the ratio of the speeds of two contestants P and Q is 3 : 4. P has a start of 170 m. Then, P wins by:

  • A.50 m
  • B.44 m
  • C.25 m
  • D.15 m

Answer: B

To reach the winning post A will have to cover a distance of (550 - 170)m, i.e., 380 m.
While P covers 3 m, Q covers 4 m. (380 * (4/3)) = 506
While P covers 440 m, Q covers
Thus, when P reaches the winning post, Q covers 506 m and therefore remains 44 m behind.
P wins by 44 m.

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