The hands of a clock are 10 cm and 7 cm respectively. The difference between the distance traversed by their extremities in 3 days 5 hours is = ?
A. 4552.67 CM
B. 4555.67 CM
C. 4557.67 CM
D. 4559.67 CM
Answer: Option C
Solution(By Examveda Team)
Number of rounds completed by the minute hand in 3 days 5 hours$$\eqalign{ & = \left( {3 \times 24 + 5} \right) \cr & = 77 \cr} $$
Number of rounds completed by the hour hand in 3 days 5 hours
$$\eqalign{ & = \left( {3 \times 2 + \frac{5}{{12}}} \right) \cr & = 6\frac{5}{{12}} \cr} $$
∴ Difference between the distance traversed
$${\text{ = }}\left[ {77 \times \left( {2 \times \frac{{22}}{7} \times 10} \right) - 6\frac{5}{{12}} \times \left( {2 \times \frac{{22}}{7} \times 7} \right)} \right]{\text{cm}}$$
$$\eqalign{ & = \left( {4840 - 282.33} \right){\text{ cm}} \cr & = 4557.67{\text{ cm}} \cr} $$
Related Questions on Clock
The reflex angle between the hands of a clock at 10.25 is:
A. 180º
B. $${\text{192}}{\frac{1}{2}^ \circ }$$
C. 195º
D. $${\text{197}}{\frac{1}{2}^ \circ }$$
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
A. 145º
B. 150º
C. 155º
D. 160º
A. $$59\frac{7}{{12}}$$ min. past 3
B. 4 p.m.
C. $$58\frac{7}{{11}}$$ min. past 3
D. $$2\frac{3}{{11}}$$ min. past 4
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