MathRevolution wrote:
[GMAT math practice question]
What is the angle between the hour hand and the minute hand at the time of 5 hours 44 minutes?
\(A. 89^o\)
\(B. 90^o\)
\(C. 91^o\)
\(D. 92^o\)
\(E. 93^o\)
Whenever we deal with clock problems, these are some points that come in handy.
1. Every hour is \(\frac{360^o}{12} = 30^o\) in measure
2. Every minute will cause the minute hand to move \(\frac{360^o}{60} = 6^o\). As 12 minutes
pass in every hour, the hour hand will move \(\frac{30^o}{5} = 6^o\) towards the next hour.
Coming to the problem at hand, we have the hour hand standing between 5 and 6.
The hour hand has moved \(\frac{44}{60}*30 = 22^o\) away from 5(which is at \(150^o\)) and is at \(172^o\).
The minute hand is at \(44* 6^o = 264^o\). The angle between the hour and the minute hand
is the difference between the hour and minute hand.
Therefore, the angle between the minute and hour hand is \(264^o - 172^o = 92^o\)
(Option D) _________________
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