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
50) = 2^3 × 5^2 = 8 × 25 = 200 minutes Step 3: Convert 200 minutes to hours and minutes. 200 minutes = 3 hours and 20 minutes Step 4: Identify the common departure times within the 8:00 AM to 5:00 PM window. The vehicles both depart at 8:00 AM. The next common departure will be 3 hours and 20 minutes after 8:00 AM: 8:00 AM + 3 hours 20 minutes = 11:20 AM The next common departure will be 3 hours and 20 minutes after 11:20 AM: 11:20 AM + 3 hours 20 minutes = 2:40 PM The next common departure would be 3 hours and 20 minutes after 2:40 PM: 2:40 PM + 3 hours 20 minutes = 6:00 PM This time (6:00 PM) is outside the specified range of 8:00 AM to 5:00 PM. The times of the day when the two vehicles will leave the park at the same time are: 8:00 AM 11:20 AM 2:40 PM Part 3: How can traffic jam be controlled? Traffic jams can be controlled through various strategies: Improved Public Transportation: Investing in efficient and accessible public transport reduces the number of private vehicles on the road. Traffic Management Systems: Implementing smart traffic lights, real-time traffic monitoring, and dynamic lane management can optimize traffic flow. Road Infrastructure Development: Expanding roads, building bypasses, and improving intersections can increase capacity and reduce bottlenecks. Encouraging Carpooling and Cycling: Promoting shared rides and non-motorized transport options can decrease individual vehicle usage. Congestion Pricing: Charging drivers for using roads during peak hours can deter non-essential travel and reduce congestion.