Let's solve this time problem step by step. The question asks: When is 20 minutes after 9:30 p.m.? We start with 9:30 p.m. as our base time, shown here on the digital clock. To find the answer, we need to add 20 minutes to this starting time. This is a straightforward time addition problem where we move forward in time.
Now let's add 20 minutes to 9:30 p.m. step by step. Here's an analog clock showing 9:30 p.m. The hour hand points between 9 and 10, while the minute hand points to 6, which represents 30 minutes. To add 20 minutes, we need to move the minute hand clockwise from the 6 to the 10, which represents 50 minutes. Watch as the minute hand moves from 30 minutes to 50 minutes, giving us our final answer of 9:50 p.m.
Let's verify our answer. We started with 9:30 p.m. and added 20 minutes. The final answer is 9:50 p.m. We can confirm this with our calculation: 9:30 p.m. plus 20 minutes equals 9:50 p.m. This timeline shows the progression from our starting time to the final time, marking the 20-minute interval. In 24-hour format, this would be 21:50. Our answer is correct: 20 minutes after 9:30 p.m. is 9:50 p.m.
Now let's practice with two similar time addition problems. First problem: What time is 15 minutes after 8:45 p.m.? We add 15 minutes to 8:45, which gives us 9:00 p.m. This is straightforward since we don't cross into a new hour. Second problem: What time is 25 minutes after 11:40 p.m.? Here we add 25 minutes to 11:40. This gives us 11:65, but since there are only 60 minutes in an hour, we convert this to 12:05 a.m. Notice that we've crossed from p.m. to a.m. because we moved past midnight. This demonstrates how to handle cases where adding minutes takes us into the next hour.
Let's summarize what we've learned about time addition. The key steps are: First, identify your starting time. Second, add the minutes to the current minutes. Third, if the total minutes equal or exceed 60, convert to the next hour. Fourth, check if you're crossing midnight, which changes PM to AM. For our original problem, we started with 9:30 p.m., added 20 minutes, and got 9:50 p.m. This is our final answer. Remember these steps, and you'll be able to solve any time addition problem confidently.