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Clock Hands Angle Change Rate

XAT 2010 · Quantitative Ability & Data Interpretation · Easy · Quantitative Ability

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In a clock having a circular scale of twelve hours, when time changes from 7:45 A.M. to 7:47 A.M., by how many degrees the angle formed by the hour hand and minute hand changes?

  1. A.

    10

  2. B.

    11

  3. C.

    12

  4. D.

    15

  5. E.

    None of these

Answer

B

Explanation

Relative speed between minute hand and hour hand = 6∘−0.5∘=5.5∘/minute6^\circ - 0.5^\circ = 5.5^\circ / \text{minute}. In 2 minutes (7:45 to 7:47 A.M.), the angle changes by 2×5.5∘=11∘2 \times 5.5^\circ = 11^\circ.

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