MathematicsThe short and long hands of a clock are 4cm and 6cm long respectively. Find the Sum of distance travelled by their tips in 2 days.

The short and long hands of a clock are 4cm and 6cm long respectively. Find the Sum of distance travelled by their tips in 2 days.


  1. A
    1910.85
  2. B
    1911
  3. C
    1912
  4. D
    1911.25 

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    Solution:

    Concept: Total distance travelled will be equal to distance travelled in one revolution that will its circumference multiplied by total revolution.
    In 2 days , the short hand can  complete 4 rounds.
    ⸫Distance moved = 4(circumference of a circle of radius = 4 cm )
    = 100.57
    In 2 days, the long hand can complete 48 rounds.
    ⸫Distance moved  = 48 (circumference of a circle of radius = 6 cm )
    = 1810.28
    Hence,
    Sum of distances moved by the tips of 2 hands of the clock.
    = 100.57 + 1810.28
    = 1910.85
    Hence, the correct option is 1.
     
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