A journey consists of three parts. Part 1: 2 hours at 60 km/h. Part 2: 30 minutes at 10 km/h. Part 3: 40 minutes at an unknown speed. Calculate the total distance and total time.

millicentodongo023, let's knock this out. Here's how to solve the problem: a) Calculate the total distance covered in the whole journey. Step 1: Calculate the distance covered in the first part of the journey. The formula for distance is Distance = Speed × Time. D_1 = 60 km/h × 2 hours = 120 km Step 2: Calculate the distance covered in the second part of the journey. First, convert 30 minutes to hours. 30 minutes = (30)/(60) hours = 0.5 hours Now, calculate the distance: D_2 = 10 km/h × 0.5 hours = 5 km Step 3: Calculate the total distance covered. D_total = D_1 + D_2 = 120 km + 5 km = 125 km b) Calculate the total time taken in the whole journey. Step 1: Convert all time durations to hours. Time for the first part (T_1) = 2 hours Time for the rest (T_rest) = 40 minutes = (40)/(60) hours = (2)/(3) hours Time for the second part (T_2) = 30 minutes = (30)/(60) hours = 0.5 hours = (1)/(2) hours Step 2: Calculate the total time taken. T_total = T_1 + T_rest + T_2 T_total = 2 hours + (2)/(3) hours + (1)/(2) hours To add these, find a common denominator, which is 6: T_total = (12)/(6) hours + (4)/(6) hours + (3)/(6) hours T_total = (12 + 4 + 3)/(6) hours = (19)/(6) hours As a decimal, this is approximately: T_total ≈ 3.17 hours So, the total time taken is (19)/(6) hours. c) Calculate the average speed used in the whole journey. Step 1: Use the total distance and total time calculated above. Total distance (D_total) = 125 km Total time (T_total) = (19)/(6) hours Step 2: Calculate the average speed. The formula for average speed is Average Speed = Total DistanceTotal Time. Average Speed = 125 km(19)/(6) hours Average Speed = 125 × (6)/(19) km/h Average Speed = (750)/(19) km/h As a decimal, this is approximately: Average Speed ≈ 39.47 km/h So, the average speed is (750)/(19) km/h. Send me the next one 📸