Clocks & Calendars · Question 27 · Hard
At what time between 7 o'clock and 8 o'clock will the hands of a clock be in a straight line but pointing in opposite directions?
- 5 minutes past 7
- 5 10/11 minutes past 7
- 38 2/11 minutes past 7
- 5 5/11 minutes past 7
Answer and explanation
Answer: D. 5 5/11 minutes past 7
Explanation: The angle is |210 − 5.5m|. Setting 210 − 5.5m = 180 gives m = 30/5.5 = 60/11 = 5 5/11 minutes past 7. (38 2/11 minutes past 7 is when the hands coincide.)
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