At what time are the hands of a clock together between 5 and 6?
- $33\displaystyle \frac{3}{11}$ min. past $5$
- $28\displaystyle \frac{3}{11}$ min. past $5$
- $30$ min. past $5$
- $27\displaystyle \frac{3}{11}$ min. past $5$
Reveal answer
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Correct answer
Explanation
The hands of a clock are together when the minute hand has gained 25 minute spaces on the hour hand. The formula is (60/55) * minutes. At 5 o'clock, the minute hand is at 0 and the hour hand is at 25. The time is 25 * (60/55) = 1500/55 = 300/11 = 27 3/11 minutes past 5.
AI explanation
To find when the hands coincide, use the formula where the minutes equal 60 divided by 11, multiplied by the hour's number. At 5 o'clock, the hour hand is 25 minute divisions ahead of the minute hand. Applying the formula gives 300 divided by 11, which equals 27 and 3 over 11 minutes past 5.