Find start and end times: word problems

key notes :

🎯 1. Understanding Start and End Times

• Start Time: When an event begins.
• End Time: When an event finishes.
• Duration: The total time between start and end times.

✅ Example: If a movie starts at 3:00 PM and lasts 2 hours, it ends at 5:00 PM.

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🕒 2. Methods to Solve Time Problems

👉 a) Finding End Time:

• Start Time + Duration = End Time
• Example: A concert starts at 6:30 PM and lasts 1 hour 45 minutes.
  • 6:30 PM + 1 hour = 7:30 PM
  • 7:30 PM + 45 minutes = 8:15 PM
  • 🎉 End Time: 8:15 PM

👉 b) Finding Start Time:

• End Time – Duration = Start Time
• Example: A flight lands at 10:45 AM after flying for 3 hours 20 minutes.
  • 10:45 AM – 3 hours = 7:45 AM
  • 7:45 AM – 20 minutes = 7:25 AM
  • ✈️ Start Time: 7:25 AM

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🔄 3. Solving Time Problems with AM and PM

• Remember: AM (morning) is from 12:00 midnight to 11:59 morning.
• PM (afternoon/evening) is from 12:00 noon to 11:59 night.
• Be careful when crossing 12:00 PM or 12:00 AM.

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🧠 4. Tips for Time Word Problems

✔️ Read carefully — Find what’s missing: Start time, end time, or duration.
✔️ Convert minutes to hours (e.g., 75 minutes = 1 hour 15 minutes).
✔️ Check your answer — Does it make sense?
✔️ Use a timeline or clock to visualize tricky problems.

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✨ 5. Practice Word Problem

Problem:

• A train leaves at 2:45 PM and travels for 4 hours 35 minutes. What time does it arrive?

Solution:

• 2:45 PM + 4 hours = 6:45 PM
• 6:45 PM + 35 minutes = 7:20 PM
• 🚂 Arrival Time: 7:20 PM

Learn with an example

Let’s practice!🖊️