Question

the clock below shows the time ms. gorman’s math class begins. when class ends, the minute hand will have moved 270°. what time does math class end? clock image a.m.

Explanation:

Step1: Find start time

The clock shows hour hand between 9 and 10, minute hand at 6 (30 minutes). So start time is 9:30 A.M.

Step2: Calculate minute hand movement per minute

A clock is \(360^\circ\), 60 minutes. So per minute, minute hand moves \(\frac{360^\circ}{60} = 6^\circ\) per minute.

Step3: Find minutes moved for \(270^\circ\)

Let \(m\) be minutes. \(6^\circ \times m = 270^\circ\), so \(m=\frac{270^\circ}{6^\circ}=45\) minutes.

Step4: Add minutes to start time

Start time: 9:30. Add 45 minutes: 9:30 + 0:45 = 10:15 A.M.

Answer:

10:15 A.M.