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In 16 minutes, the minute hand gains _________ over the hour hand.
Question

In 16 minutes, the minute hand gains _________ over the hour hand.

A.

16°

B.

88°

C.

96°

D.

80°

Correct option is B

As we know,
Angular distance cover by hour hand in one hours = 36012=30°\frac{360}{12} = 30\degree​​
Angular distance cover by hour hand in one minute = 3060=0.5°\frac{30}{60}= 0.5\degree​​
Angular distance cover by minutes hand in one minute = 36060=6°\frac{360}{60} = 6\degree​​
In one minute, gain total angular distance = 6°0.5°=5.5°6\degree - 0.5\degree = 5.5\degree​​
Therefore, in 16 minutes, the minute hand gains = 16×5.5°=88°16 \times 5.5\degree = 88\degree​​

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