Clock speeds — By how many degrees does the minute hand move in the same time that the hour hand moves by 28 degrees?

Introduction / Context:This tests the constant angular speeds of clock hands. The minute hand moves 12 times as fast as the hour hand.

Given Data / Assumptions:

• Hour hand speed = 0.5° per minute.
• Minute hand speed = 6° per minute.
• Hour hand displacement given = 28°.

Concept / Approach:First find the time taken for the hour hand to move 28°, then compute the minute hand’s movement in the same time.

Step-by-Step Solution:Time t = 28 / 0.5 = 56 minutes.Minute hand movement = 6 * 56 = 336 degrees.

Verification / Alternative check:Using the 12:1 speed ratio: minute displacement = 12 * hour displacement = 12 * 28 = 336 degrees.

Why Other Options Are Wrong:168 = 6 * 28/2 and 196/376 stem from incorrect speed ratios or arithmetic slips.

Common Pitfalls:Forgetting the factor 12 or mixing time with angle directly.

Final Answer:336 degrees.