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 — Step 1: Calculate the distance between the two stations. The formula for distance is D = S × T, where D is distance, S is speed, and T is time. Given initial speed S_1 = 40 km/hr and initial time T_1 = 3 hrs. D = 40 km/hr × 3 hrs D = 120 km Step 2: Calculate the new average speed required to cover the same distance in 2 hours. We need to find the new speed S_2 to cover the distance D = 120 km in new time T_2 = 2 hrs. S_2 = (D)/(T_2) S_2 = 120 km2 hrs S_2 = 60 km/hr The train must travel at an average speed of: 60 km/hr What's next?