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A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at :___________?

Correct answer: A. 7.42 a.m.

  • A. 7.42 a.m.
  • B. 7.48 a.m.
  • C. 8.10 a.m.
  • D. 8.30 a.m.

Explanation

B gains on A at 6 rounds/h - 1 round/h = 5 rounds/h, so they meet after 1/5 h = 12 min. Starting at 7:30 a.m., the first crossing is at 7:42 a.m.; 7:48 a.m. comes from using a relative rate of 4 rounds/h.

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