Un tren sale de la Ciudad A a las 8:00 AM y viaja hacia la Ciudad B a una velocidad constante de 80 km/h. Otro tren sale de la Ciudad B a las 9:00 AM hacia la Ciudad A a 120 km/h. Si la distancia entre las ciudades es de 600 km, ¿a qué hora se encontrarán? - ToelettAPP
When a Train Leaves Ciudad A at 8:00 AM Traveling to Ciudad B at 80 km/h, and Another Leaves Ciudad B at 9:00 AM at 120 km/h—Find the Exact Meeting Time on the 600 km Route
When a Train Leaves Ciudad A at 8:00 AM Traveling to Ciudad B at 80 km/h, and Another Leaves Ciudad B at 9:00 AM at 120 km/h—Find the Exact Meeting Time on the 600 km Route
Traveling between two cities by train is a common scenario, but when two trains head toward each other from different starting points at different times, calculating their meeting point and time involves careful planning. This article explains step-by-step how to solve the problem: when a train leaves Ciudad A at 8:00 AM traveling at 80 km/h, and another departs Ciudad B at 9:00 AM toward Ciudad A at 120 km/h, with the cities 600 km apart, what time and location do the trains meet?
Understanding the Context
Base Information
- Distance between Ciudad A and Ciudad B: 600 km
- Train 1 departs Ciudad A at 8:00 AM, speed 80 km/h
- Train 2 departs Ciudad B at 9:00 AM, speed 120 km/h
Step 1: Determine the head start distance
Key Insights
By 9:00 AM, the first train has already traveled for 1 hour alone.
Distance covered in that hour = speed × time = 80 km/h × 1 h = 80 km
So, at 9:00 AM, the remaining distance between the two trains when Train 2 starts is:
600 km – 80 km = 520 km
Step 2: Relative speed when both trains are moving toward each other
After both trains are in motion (Train 1 from Ciudad A, Train 2 from Ciudad B), their speeds add because they’re approaching each other.
🔗 Related Articles You Might Like:
📰 All such give distinct lattice points? Not necessarily, but we count distinct \((x,y)\). 📰 Since \(m, n\) range over all integer divisor pairs of 506, and \(x = m+n\), \(y = n-m\), and every divisor pair is counted, but note: different \((m,n)\) may give same \((x,y)\)? 📰 For fixed \(mn = 506\), \(x = m+n\), \(y = n-m\) determined uniquely. So each divisor pair gives a unique \((x,y)\). 📰 Killer 7 Revealed Why This Fighters Game Dominates Thoughts Online 📰 Killer 7 The Secret Hacking Game You Cant Stop Playing 📰 Killer 7 The Untapped Gem Thats Blending Dark Action Mind Blowing Gameplay 📰 Killer Bee Attack Science Will Shock You How Dangerous These Bees Really Are 📰 Killer Bee Naruto The Hidden Threat You Never Saw Coming 📰 Killer Bee Warning Scientists Discover Deadly Behavior That You Need To See Now 📰 Killer Bees The Fiercest Fighters In Natureyou Wont Believe These Stunts 📰 Killer Clowns From Outer Space Haunting Alien Terror You Wont Believe Exists 📰 Killer Combos Alert The Ultimate Guide To Kurokos Elite Characters You Cant Miss 📰 Killer Croc Attack Exposed Survivors Shocking Story Will Send Chills Down Your Spine 📰 Killer Croc Found In Remote Swampeleven People Disappeared Overnight 📰 Killer Croc Unleashed This Monsters Hunting Right Outside Your Backyard 📰 Killer Frost Exposed The Hidden Dangers Of This Unstoppable Winter Blizzard 📰 Killer Frost What This Icy Force Is Really Doing To Your Home In 2025 📰 Killer Frost Will Shock Youthis Freezing Phenomenon Is Unleashing ChaosFinal Thoughts
Total relative speed = 80 km/h + 120 km/h = 200 km/h
Step 3: Calculate time to meet after 9:00 AM
Now, the trains are 520 km apart and closing the gap at 200 km/h.
Time to meet = Distance / Relative Speed
Time = 520 km / 200 km/h = 2.6 hours
Convert 0.6 hours to minutes:
0.6 × 60 = 36 minutes
So, the trains meet at 9:00 AM + 2 hours 36 minutes = 11:36 AM
Final Answer
The two trains will meet at 11:36 AM on the route between Ciudad A and Ciudad B.
