It is between 9 and 10 o'clock that a boy looking at his watch mistakes the hour-hand for the minute-hand and thinks that the time of the day is 53 minutes earlier than the real time. What is the exact time?
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40 ½ min. past 9
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415/11 min. past 9
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40 ½ min. past 8
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45 5/11 min. past 9
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20 min. past 8
B
Correct answer
Explanation
Let the time be 9:x. The hour hand is at 9 + x/60, minute hand at x. The mistake swaps them. The difference between the actual time and the perceived time is 53 minutes. Solving the equation leads to 41 5/11 minutes past 9.