Multiple choice general knowledge math & puzzles

" X runs 3/2 times as fast as Y. If X gives Y a start of 300 meters, how far must X run before he catches up with Y?"

  1. 300

  2. 900

  3. 600

  4. 1200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Y's speed be $v$, so X's speed is $1.5v$. The relative speed is $0.5v$. To cover the 300m gap, it takes $300 / 0.5v = 600/v$ units of time. In that time, X travels distance = speed $ imes$ time = $1.5v imes (600/v) = 900$ meters.

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