Question

A clock is started at noon. By 10 mins past 5, the hour hand has turned through?

Answer 1

Hi there!
Here's the answer :


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A clock turns 360° in 12 Hrs
=> It turns (360/12)° = 30° in 1 Hr

Time difference from Noon to 10 past 5
=Time b/w 12 : 00 to 17 : 10( i.e., 5 : 10 PM)

• 17 : 10
- 12 : 00
---------------
= 5 : 10

Express this time difference in Hours
=> Convert Minutes to Hours & add it to Hour.

1 Hr = 60 Minutes

1 min = (1/60) Hr
10 min = (10/60) = (1/6) Hr

5 Hr 10 Min = 5 Hr + (1/6) Hr
= (5 + (1/6)) Hr
= [(6×5) + 1]/6 Hr
= 31/6 Hrs

In 1 Hr , Hr Hand turns 30°
In (31/6) Hr, Hr Hand turns (31/6)×30° = 31 × 5° = 155°

•°• Required Angle = 155°


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