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 is the solution for question 9: Question 9: A car travelling at 50 km/hr completes a journey in 6 hours. How long will it take to complete the same journey if it travelled at 80 km/hr? This problem involves the relationship between distance, speed, and time, given by the formula: Distance = Speed × Time. Step 1: Calculate the total distance of the journey. Given the initial speed and time: Initial Speed (S_1) = 50 km/hr Initial Time (T_1) = 6 hours Distance (D) = S_1 × T_1 D = 50 km/hr × 6 hours D = 300 km Step 2: Calculate the time it will take to complete the same journey at the new speed. Given the distance (from Step 1) and the new speed: Distance (D) = 300 km New Speed (S_2) = 80 km/hr New Time (T_2) = (D)/(S_2) T_2 = 300 km80 km/hr T_2 = (30)/(8) hours T_2 = (15)/(4) hours T_2 = 3.75 hours It will take 3.75 hours to complete the journey at 80 km/hr. What's next?