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
Question 3.1.1 Step 1: Convert the total travel time into hours. The family took 2 hours and 40 minutes. To convert minutes to hours, divide by 60: 40 minutes = (40)/(60) hours = (2)/(3) hours ≈ 0.6667 hours Total time in hours: Time = 2 + (2)/(3) hours = (6)/(3) + (2)/(3) hours = (8)/(3) hours Step 2: Use the formula Speed = DistanceTime. Given distance is 126 miles. Speed = 126 miles(8)/(3) hours Step 3: Calculate the average speed. Speed = 126 × (3)/(8) mph = (378)/(8) mph = 47.25 mph Step 4: Round the average speed to the nearest mile per hour. 47.25 mph ≈ 47 mph The average speed for the trip was 47 mph. Question 3.1.2 Step 1: Identify the departure time and travel duration. Departure time: 09:15 Travel duration: 2 hours and 40 minutes Step 2: Add the hours component of the travel duration to the departure time. 09:15 + 2 hours = 11:15 Step 3: Add the minutes component of the travel duration to the current time. 11:15 + 40 minutes 15 minutes + 40 minutes = 55 minutes So, the time becomes 11:55. The family arrived in Harrison at 11:55. 3 done, 2 left today. You're making progress.