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
here's the solution to your question: To verify whether Mr. Son left his home at exactly 11:40, we need to calculate the actual travel time and then subtract it from his arrival time. Step 1: Use the given formula to calculate the time taken for the journey. The formula is: Distance = average speed × time. We need to find the time, so we rearrange the formula: Time = DistanceAverage speed Step 2: Substitute the given values into the formula. Distance = 34 km Average speed = 85 km/hour Time = 34 km85 km/hour Time = 0.4 hours Step 3: Convert the time from hours to minutes. Since there are 60 minutes in an hour: Time in minutes = 0.4 hours × 60 minutes/hour Time in minutes = 24 minutes Step 4: Calculate the departure time by subtracting the travel time from the arrival time. Arrival time = 12:10 Travel time = 24 minutes Departure time = 12:10 - 24 minutes To subtract 24 minutes from 12:10, we can think of 12:10 as 11 hours and 70 minutes (since 1 hour = 60 minutes, 12:10 = 11:70). Departure time = 11:70 - 00:24 Departure time = 11:46 Step 5: Compare the calculated departure time with the statement. The calculated departure time is 11:46. The statement says Mr. Son left his home at exactly 11:40. Since 11:46 ≠ 11:40, Mrs. Son's statement is not valid. Mr. Son's statement is not valid What's next?