A clock has 75 cm, 60 cm long second hand and minute hand respectively. In 30 minutes, duration the tip of second hand will travel x distance more than the tip of minute hand. The value of x in meter is nearly

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Solution

Q.
A clock has 75 cm, 60 cm long second hand and minute hand respectively. In 30 minutes, duration the tip of second hand will travel $x$ distance more than the tip of minute hand. The value of $x$ in meter is nearly (Take $π$ = 3.14) [2024]

1 118.9

2 220.0

3 139.4

4 140.5

Ans.
(3)

$x_{m i n} = π \times r_{m i n} = π \times \frac{60}{100} m .$

$x_{s e c o n d} = 30 \times 2 π \times r_{s e c o n d} = 30 \times 2 π \times \frac{75}{100}$

$x = x_{s e c o n d} - x_{m i n} = 139.4 m$

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