At t = 2: d = 50(2) + 12(4) = 100 + 48 = <<100+48=148>>148 km

["Understanding the Equation: At t = 2 hours, Distance d = 50(2) + 12(4) = 148 km", "When calculating distance traveled over time, especially in motion problems involving constant or variable speeds, algebraic expressions offer a clear and efficient way to model movement. One such numerical example is shown in the equation:", "At t = 2 hours, d = 50(2) + 12(4) = 100 + 48 = 148 km", "This expression simplifies a real-world scenario where an object moves at two different speeds during distinct time intervals, allowing us to compute total distance covered.", "### Breaking Down the Formula", "The expression follows a basic principle of motion: distance = speed × time. In this case, the distance traveled, d, is calculated over two segments:", "- For the first segment, speed = 50 km/h and time = 2 hours:\n ( 50 \ imes 2 = 100 ) km\n- For the second segment, speed = 12 km/h and time = 4 hours:\n ( 12 \ imes 4 = 48 ) km", "By summing both contributions, the total distance traveled after 2 hours plus 4 hours (total 6 hours) is:\n100 + 48 = 148 km", "### Why This Equation Matters", "This simple formula reflects a common approach in physics and everyday problem-solving: breaking complex motion into manageable parts. Whether tracking a car’s journey, planning travel routes, or solving physics problems, splitting motion into segments makes calculations more accurate and intuitive.", "### Real-Life Applications", "- Transportation Planning: Engineers use similar equations to estimate travel times and distances for vehicles operating under variable speeds.\n- Education: This type of problem helps students grasp velocity, time, and distance relationships in kinematics.\n- Navigation Apps: GPS systems calculate distance by analyzing speed changes over time, relying on principles like those in our example.", "### Summary", "At first glance, an algebraic expression like d = 50(2) + 12(4) may seem technical, but it represents a straightforward, powerful method for solving distance problems. At t = 2 hours, the total distance traveled is 148 km, achieved by summing motion over distinct time intervals. Understanding and applying such expressions equips learners and professionals with the tools to analyze movement accurately in diverse real-world contexts.", "Key Takeaway:\nUse speed × time for each segment, then sum up the results to determine total distance—especially when movement patterns vary over time.", "---", "Keywords for SEO Optimization: \ndistancecalculation, #speedtimedistance, #algebraicequations, #motionproblems, #physicsexamples, #velocityjourney, #distanceformula, #Kinematics, #traveldistance", "Meta Description:\nDiscover how to calculate total distance using the formula d = 50(2) + 12(4) = 148 km. Learn a clear example of speed × time applied over time intervals—perfect for physics, education, and real-world travel planning."]