The minor angle between the hours hand and minutes hand of a clock was observed at 8:48am. The minimum duration, in minutes, after 8:48 am when this angle increases by 50% is
Question:
The minor angle between the hours hand and minutes hand of a clock was observed at 8:48am. The minimum duration, in minutes, after 8:48 am when this angle increases by 50% is
The minor angle between the hours hand and minutes hand of a clock was observed at 8:48am. The minimum duration, in minutes, after 8:48 am when this angle increases by 50% is
Options
Answer: 24/11
Explanation:
At 8:48, hour hand is at 8+(48/60)×30=264° and minute hand is at 48×6=288°. Minor angle = 24°. We need this to become 36° (50% increase). The minute hand gains 5.5° per minute on hour hand. Time = 12/5.5 = 24/11 minutes.
Explanation:
At 8:48, hour hand is at 8+(48/60)×30=264° and minute hand is at 48×6=288°. Minor angle = 24°. We need this to become 36° (50% increase). The minute hand gains 5.5° per minute on hour hand. Time = 12/5.5 = 24/11 minutes.
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