A cyclist rides uphill at 12 km/h for 25 minutes and then downhill at 30 km/h for 15 minutes. What is the total distance traveled?
["# Cyclist’s Journey: Total Distance Covered Uphill and Downhill – Calculating Speed, Time, and Distance", "Whether you're a casual rider or an avid cyclist, understanding how to calculate total distance from varying speeds and time intervals is key to tracking performance and planning routes. In this article, we explore a realistic cycling scenario: a cyclist rides 25 minutes uphill at 12 km/h, then 15 minutes downhill at 30 km/h, and we calculate the total distance traveled.", "## The Ride Breakdown", "### Step 1: Convert Time to Hours\nAccurate distance calculation requires consistent time units. Since speed is measured in km/h, convert both time segments to hours.", "- Uphill: 25 minutes = ( \frac{25}{60} ) hours = ( \frac{5}{12} ) hours ≈ 0.4167 hours\n- Downhill: 15 minutes = ( \frac{15}{60} ) hours = ( \frac{1}{4} ) hour = 0.25 hours", "### Step 2: Calculate Distance for Each Segment", "Distance equals speed multiplied by time:\n- Uphill distance = speed × time\n ( = 12 , \ ext{km/h} \ imes \frac{5}{12} , \ ext{h} = 5 , \ ext{km} )", "- Downhill distance = speed × time\n ( = 30 , \ ext{km/h} \ imes \frac{1}{4} , \ ext{h} = 7.5 , \ ext{km} )", "### Step 3: Total Distance Traveled", "Add the two distances:\n( 5 , \ ext{km} + 7.5 , \ ext{km} = 12.5 , \ ext{km} )", "## Conclusion", "The cyclist traveled a total of 12.5 kilometers—5 kilometers uphill and 7.5 kilometers downhill. This example shows how simple math using time, speed, and distance calculations helps cyclists analyze their performance, optimize routes, and improve training.", "### Why Knowing Total Distance Matters\nTracking total distance helps cyclists:\n- Evaluate effort and performance across varied terrain\n- Monitor progress over time\n- Plan efficient, safe routes\n- Set realistic training goals", "So next time you hop on a bike, remember: even mixed terrain journeys contribute to a rewarding distance total—like our cyclist’s 12.5 km ride combining uphill challenge and downhill speed.", "---", "Keywords: cyclist distance, uphill cycling distance, downhill cycling speed, total distance cycling, cycling performance calculation, how to calculate distance in cycling, total km ridden, cycling journey distance, speed and time in cycling.", "Meta Description: Calculate total distance when riding uphill and downhill: a cyclist bikes 25 minutes at 12 km/h and 15 minutes at 30 km/h—find the total distance traveled."]
