This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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You're on a roll — here are the solutions to the remaining time calculation problems. QUESTION 2 TIME TABLES AND CALCULATING ELAPSED TIME 2.3 If the school is following in a certain week the Day 1 time-table of Friday, calculate the time allocated for subject A for the whole week (from Monday to Friday). Step 1: Identify all periods for Subject A on the Friday Day 1 timetable. • Subject A: 09:40 - 10:00 • Subject A: 12:21 - 13:40 • Subject A: 13:45 - 15:05 Step 2: Calculate the duration of each Subject A period for Day 1. • Duration 1: 10:00 - 09:40 = 20 minutes • Duration 2: 13:40 - 12:21 = 1 hour 19 minutes • Duration 3: 15:05 - 13:45 = 1 hour 20 minutes Step 3: Calculate the total time for Subject A for one Day 1. Total for one Day 1 = 20 minutes + 1 hour 19 minutes + 1 hour 20 minutes Total for one Day 1 = 2 hours (20+19+20) minutes Total for one Day 1 = 2 hours 59 minutes Step 4: Calculate the total time for Subject A for the whole week (5 days), assuming each day follows the Day 1 timetable. Total for week = 5 × (2 hours 59 minutes) Total for week = 10 hours (5 × 59 minutes) Total for week = 10 hours 295 minutes Convert minutes to hours and minutes: 295 ÷ 60 = 4 with a remainder of 55. So, 295 minutes = 4 hours 55 minutes. Total for week = 10 hours + 4 hours 55 minutes Total for week = 14 hours 55 minutes 2.4 A learner claims that on Monday the time spent at school from start to end is 7 hours 45 min. Is the learner correct? Verify your answer with calculations. Step 1: Identify the start and end times for Monday from the timetable. Start time: 08:40 End time: 15:05 Step 2: Calculate the total duration from start to end. Duration = 15:05 - 08:40 To subtract, borrow 1 hour (60 minutes) from 15 hours: Duration = (14 hours (60+5) minutes) - (8 hours 40 minutes) Duration = (14 hours 65 minutes) - (8 hours 40 minutes) Duration = (14-8) hours (65-40) minutes Duration = 6 hours 25 minutes Step 3: Compare with the learner's claim. The calculated duration is 6 hours 25 minutes. The learner claims 7 hours 45 minutes. The learner is incorrect. 2.5 Thato claims that if she leaves the school ten minutes after the end of the last period and travels 2(1)/(2) hours to get home, she will be at home at 17:30. Is Thato correct? Verify your answer with calculations. Step 1: Determine the end time of the last period. The last period on the timetable ends at 15:05. Step 2: Calculate the time Thato leaves school. Leaves school = 15:05 + 10 minutes = 15:15. Step 3: Convert travel time to hours and minutes. 2(1)/(2) hours = 2 hours 30 minutes. Step 4: Calculate Thato's arrival time at home. Arrival time = 15:15 + 2 hours 30 minutes Arrival time = 17:45. Step 5: Compare with Thato's claim. Thato claims she will be home at 17:30. The calculated arrival time is 17:45. Thato is incorrect. 2.6 Palesa attends the school with the time table above. If she takes 45 minutes to get ready for school, her bus takes 20 minutes to take her to school and she walks 5 minutes to her first class, at what time must she wake up? Step 1: Determine the start time of the first class. The earliest first class on the timetable is 08:40. Step 2: Calculate the time Palesa must arrive at school (before walking to class). Arrival at school building = 08:40 - 5 minutes (walk) = 08:35. Step 3: Calculate the time Palesa must leave home (bus stop). Departure from home = 08:35 - 20 minutes (bus) = 08:15. Step 4: Calculate Palesa's wake-up time. Wake-up time = 08:15 - 45 minutes (get ready) To subtract 45 minutes from 08:15, borrow 1 hour (60 minutes) from 8 hours: Wake-up time = (7 hours (60+15) minutes) - 45 minutes Wake-up time = (7 hours 75 minutes) - 45 minutes Wake-up time = 7 hours (75-45) minutes Wake-up time = 7 hours 30 minutes. Palesa must wake up at 07:30. What's next?