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.
ScanSolve AI Answer
Hey Betsy, good to see you again. Here is the completed table with the missing values: | S.No. | Start Time | End Time | Elapsed Time | | :---- | :--------- | :------- | :----------- | | (i) | 10:45 a.m. | 1:15 p.m. | 2 hours 30 minutes | | (ii) | 4:30 p.m. | 11:15 p.m. | 6 hours 45 minutes | | (iii) | 2:00 p.m. | 3:15 a.m. | 13 hours 15 minutes | | (iv) | 9:32 p.m. | 11:48 p.m. | 2 hours 16 minutes | | (v) | 2:33 a.m. | 8:47 a.m. | 6 hours 14 minutes | Here are the step-by-step calculations for each part: Part (i): Calculate Elapsed Time Start Time: 10:45 a.m. End Time: 1:15 p.m. Step 1: Calculate the time from 10:45 a.m. to 12:00 p.m. (noon). 12 hours 00 minutes - 10 hours 45 minutes = (11 hours 60 minutes) - (10 hours 45 minutes) = 1 hour 15 minutes Step 2: Calculate the time from 12:00 p.m. to 1:15 p.m. 1 hour 15 minutes Step 3: Add the times from Step 1 and Step 2. 1 hour 15 minutes + 1 hour 15 minutes = 2 hours 30 minutes Part (ii): Calculate Elapsed Time Start Time: 4:30 p.m. End Time: 11:15 p.m. Step 1: Convert times to 24-hour format for easier subtraction. Start Time: 4:30 p.m. = 16:30 End Time: 11:15 p.m. = 23:15 Step 2: Subtract the start time from the end time. Since 15 minutes is less than 30 minutes, borrow 1 hour (60 minutes) from the hours. 23 hours 15 minutes = 22 hours (15+60) minutes = 22 hours 75 minutes Now subtract: (22 hours 75 minutes) - (16 hours 30 minutes) = (22-16) hours (75-30) minutes = 6 hours 45 minutes Part (iii): Calculate Elapsed Time Start Time: 2:00 p.m. End Time: 3:15 a.m. (next day) Step 1: Calculate the time from 2:00 p.m. to 12:00 a.m. (midnight). 2:00 p.m. is 14:00 in 24-hour format. Midnight is 24:00. 24 hours 00 minutes - 14 hours 00 minutes = 10 hours 00 minutes Step 2: Calculate the time from 12:00 a.m. to 3:15 a.m. 3 hours 15 minutes Step 3: Add the times from Step 1 and Step 2. 10 hours 00 minutes + 3 hours 15 minutes = 13 hours 15 minutes Part (iv): Calculate End Time Start Time: 9:32 p.m. Elapsed Time: 2 hours 16 minutes Step 1: Add the hours. 9 hours + 2 hours = 11 hours Step 2: Add the minutes. 32 minutes + 16 minutes = 48 minutes Step 3: Combine the hours and minutes. The end time is 11:48 p.m. Part (v): Calculate Start Time End Time: 8:47 a.m. Elapsed Time: 6 hours 14 minutes Step 1: Subtract the minutes from the end time. 47 minutes - 14 minutes = 33 minutes Step 2: Subtract the hours from the end time. 8 hours - 6 hours = 2 hours Step 3: Combine the hours and minutes. The start time is