Between 6 o’clock and 7 o’clock, at what exact time are the hour and minute hands together (coincident)?

Introduction / Context:Relative speed of minute vs. hour hand is 5.5 degrees per minute. For meeting (coincidence) after h o’clock, the standard result is t = (60/11)*h minutes past h o’clock.

Given Data / Assumptions:

• Interval: between 6 and 7.
• h = 6.

Concept / Approach:Formula for coincidence: t = (60/11) * h minutes.

Step-by-Step Solution:t = (60/11) * 6 = 360/11 = 32 8/11 minutes.Hence, time = 6 : 32 8/11.

Verification / Alternative check:Angle at 6 : t = |180 − 5.5 t| = 0 → t = 32 8/11 min satisfies.

Why Other Options Are Wrong:Other fractions are typical distractors; they do not satisfy the coincidence condition.

Common Pitfalls:Using 30/11 instead of 60/11; mixing “opposite” with “together.”

Final Answer:32 8/11 min past 6