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SSC CHSL 2023 · PYQ · Speed / Time / Distance · medium

Zeenat and Nasreen participate in a circular race of 1.2 km. They start the race at a speed of 18 km/h and 27 km/h respectively, from the same point at the same point. After how much time (in minutes) will they meet at the starting point for the first time, if they are running in the same direction?

  1. A.7
  2. B.10
  3. C.8✓ Correct
  4. D.9

Explanation

Time for Zeenat to complete one lap = 1.2/18 hr = 1/15 hr = 4 min. Time for Nasreen = 1.2/27 hr = 4/90 hr = 8/3 min. LCM of 4 and 8/3: LCM of numerators/HCF of denominators = 8/1 = 8 minutes. They meet after 8 minutes.
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