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Q: Two persons P and Q are 844 m apart. They both start cycling simultaneously in the same direction with speeds of 12 m/s and 8 m/s, respectively. In how much time will P overtake Q?
  • A. 3 minutes and 18 seconds
  • B. 3 minutes and 24 seconds
  • C. 3 minutes and 31 seconds
  • D. 3 minutes and 20 seconds
Correct Answer: Option C - Relative speed of two cyclists = 12–8 = 4m/sec Time after which they will overtake = 844/4 = 211 sec = 3 min 31 sec The time taken by P to overtake Q is 3 min 31 sec.
C. Relative speed of two cyclists = 12–8 = 4m/sec Time after which they will overtake = 844/4 = 211 sec = 3 min 31 sec The time taken by P to overtake Q is 3 min 31 sec.

Explanations:

Relative speed of two cyclists = 12–8 = 4m/sec Time after which they will overtake = 844/4 = 211 sec = 3 min 31 sec The time taken by P to overtake Q is 3 min 31 sec.