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
You're on a roll — here are the solutions to the problems. Problem 10: Step 1: Calculate the total work units for the initial scenario. The work done is proportional to the number of tractors, hours per day, and number of days. Initial work units = 3 tractors × 8 hours/day × 5 days = 120 tractor-hours. Step 2: Set up the equation for the new scenario. Let D be the number of days for the new scenario. New work units = 2 tractors × 10 hours/day × D days = 20D tractor-hours. Step 3: Equate the work units and solve for D. Since the same field is being ploughed, the total work units are equal. 120 = 20D D = (120)/(20) D = 6 It would take 2 such tractors, working 10 hours a day, 6 days to plough the same field. Problem 11: The problem asks to convert Euros to Kenyan Shillings and then remaining Kenyan Shillings to Japanese Yen. However, the provided table only lists exchange rates for US Dollars and UK Pounds. The exchange rates for Euros to Kenyan Shillings and Kenyan Shillings to Japanese Yen are not provided in the given information. Therefore, this problem cannot be solved with the information available. Problem 12: Step 1: Calculate the total time taken by the team. The times for each athlete are 45 sec, 43 sec, 44 sec, and 45 sec. Total time = 45 + 43 + 44 + 45 = 177 seconds. Step 2: Convert the total time into minutes and seconds. 177 seconds = 2 minutes and 57 seconds (Since 177 = 2 × 60 + 57) Step 3: Add the total race time to the start time. The race started at 1:35:31 p.m. Add 2 minutes and 57 seconds to this time. Start time &= 1:35:31 p.m. \\ Add minutes &= 35 + 2 = 37 \\ Add seconds &= 31 + 57 = 88 So the time is 1:37:88 p.m. Since there are 60 seconds in a minute, convert 88 seconds: 88 seconds = 1 minute and 28 seconds Add this 1 minute to the minutes column: 37 minutes + 1 minute = 38 minutes The completion time is 1:38:28 p.m. The team completed the race at 1:38:28 p.m.. Got more? Send 'em 📸