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 ..Toxic — ready when you are. Step 1: Calculate the total duration from when the watch was set to when the time is to be determined. The watch was set on Monday at 0545 hours. The time to determine is on the following Friday at 1945 hours. From Monday 0545 to Tuesday 0545 = 24 hours From Tuesday 0545 to Wednesday 0545 = 24 hours From Wednesday 0545 to Thursday 0545 = 24 hours From Thursday 0545 to Friday 0545 = 24 hours Total for full days = 4 × 24 hours = 96 hours. Remaining time on Friday: From Friday 0545 to Friday 1945. 19 hours 45 minutes - 5 hours 45 minutes = 14 hours Total duration = 96 hours + 14 hours = 110 hours. Step 2: Calculate the total time lost by the watch. The watch loses half a minute (0.5 minutes) every hour. Total time lost = Total duration × Loss rate per hour 110 hours × 0.5 minutes/hour = 55 minutes Step 3: Subtract the total time lost from the actual time. The actual time is Friday, 1945 hours. Subtract 55 minutes from 1945 hours: 19 hours 45 minutes - 55 minutes To subtract 55 minutes from 45 minutes, we borrow 1 hour (60 minutes) from the hours. 18 hours (45 + 60) minutes - 55 minutes 18 hours 105 minutes - 55 minutes 18 hours (105 - 55) minutes 18 hours 50 minutes So, the watch will show Friday, 1850 hours. Step 4: Convert the time to the 12-hour system. 1850 hours is in the 24-hour system. To convert to 12-hour system for times greater than 12, subtract 12 from the hour. 18 - 12 = 6 The time is 6:50 PM. The watch will show Friday, 6:50 PM. The time the watch will show on the following Friday at 1945 hrs is Friday, 6:50 PM. Send me the next one 📸