Question

By 20 minutes past 4, the hour hand has turned through how many degrees? If then the
clock is 12 p.m.

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Answer 1

Answer:

130 degree

Step-by-step explanation:

when we divide 360 degrees to 12 it gives us 30.

so 4x30 plus 30x1\3=120 plus 10=130

Answer 2

By 20 minutes past 4, the hour hand has turned 130°

Given:

The time on the clock is 20 minutes past 4

To Find:

Degrees turned by the hour hand during that time

Solution:

A clock is divided into 12 hours which is equivalent to 360°

Let the degrees per hour be x

⇒ 12x = 360°

⇒ x = 360/12

⇒ x = 30°

Our clock turned 4 hours ⇒ 4×30 ⇒ 120°

⇒ The clock turned 120° for 4 hours

Now we need to calculate the degrees turned by the clock in 20 minutes

1 hour is divided into 60 minutes

let y be the degrees turned in one minute

⇒ 60y = 30°

⇒ y = 30/60

⇒ y = 0.5°

The degrees turned in 20 minutes will be 20y ⇒ 20(0.5) ⇒ 10°

∴ The total degrees turned by the clock is 120° +  10° ⇒ 130°