Multiple choice

Rajeev and Sanjeev are too close friends. Rajeev's watch gains $1$ minute in an hour and Sanjeev's watch loses $2$ minutes in an hour. Once they set both the watches at $12: 00$ noon, with my correct watch. When will the two incorrect watches of Rajeev and Sanjeev show the same time together?

  1. $8$ days later
  2. $10$ days later
  3. $6$ days later

  4. can't be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Rajeev gains 1 min/hr and Sanjeev loses 2 min/hr. The relative difference is 3 min/hr. They will show the same time when the difference is 12 hours (720 minutes). Time = 720 / 3 = 240 hours. 240 hours / 24 hours/day = 10 days.

AI explanation

Rajeev's watch gains 1 minute per hour and Sanjeev's watch loses 2 minutes per hour, so the relative difference between their watches increases by 3 minutes each hour. To show the exact same time again, their watches must differ by a full 12 hours, which is 720 minutes. Dividing 720 minutes by the 3 minute hourly gap yields 240 hours, and converting this to days gives 10 days later.

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