Question

Q. If the short and long hands of a clock are 5 cm and 6 cm long respectively, then the distance travelled by long hand in 60 hours is:
(A) 32pie cm
(B) 28pie cm
(C) 60pie cm
(D) 96pie cm​

Answer 1

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Answer 2

Given,

Length of short hand $\[ = 5cm\]$

Length of long hand $\[ = 6cm\]$

Solution,

Calculate the distance travelled by long hand in 60 hours.

Know that long hand cover 12 hour in one rotation so for 60 hour it will rotate 5 times.

Distance covered in one rotation $\[ = 2\pi \times r\]$

Distance cover in 5 round or 60 hour,

$\[\begin{array}{l} = 5 \times 2\pi \times r\\ = 10\pi \times r\\ = 10 \times \pi \times 6\\ = 60\pi cm\end{array}\]$

The distance covered by long hand in 60 hour is $\[60\pi cm\]$

The correct option is (c), i.e. $\[60\pi cm\]$