Question: A circular clock has a minute hand measuring 12 inches long. How far, in inches, does the outermost tip of the minute hand travel in 20 minutes?

1. 2π
2. 4π
3. 8π
4. 12π
5. 24π

Correct Answer: C
Solution and Explanation:
Approach Solution 1:
Given:

A circular clock has a minute hand measuring 12 inches long

To find:
How far, in inches, does the outermost tip of the minute hand travel in 20 minutes

Approach and Working:
In 1 hour or 60 minutes time, the minute hand makes one whole revolution, completing a distance equivalent to the circumference of the circle

• If the radius of the circle is 12 inches long, the circumference = 2 * π * 12 = 24π

Now, 24π distance is covered in 60 minutes

• Therefore, in 20 minutes, the distance the minute hand will cover = 20/60 * 24π = 8π

Approach Solution 2:

In 60 minutes, the outermost tip of the minute hand travels one revolution around the centre of the clock, i.e., the circumference of a circle with radius 12 inches. Thus, in 60 minutes, the outermost tip of the minute hand travels 2 x π x 12 = 24π inches. Since 20 minutes is 1/3 of 60 minutes, the outermost tip of the minute hand travels 24π x 1/3 = 8π inches.

Approach Solution 3:
In one minute there is a change of 6 degrees.
20 min = 120 degrees change
So theta/360*2*π*radius should be the answer = 120/360*2*π*12= 8*π

“A circular clock has a minute hand measuring 12 inches long. How far”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.

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