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In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?

  • A.200 sec
  • B.190 sec
  • C.210 sec
  • D.150 sec

Answer: B

"By 50 m or 10 seconds" means B needs 10 seconds for that final 50 m.

\[ v_{B} = \frac{50}{10} = 5 \text{ m/s} \]

\[ t_{B} = \frac{1000}{5} = 200 \text{ s} \]

\[ t_{A} = 200 - 10 = 190 \text{ s} \]

The question asks for A's time, so the 10 seconds must be subtracted from B's.

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