Stations A and B are 220 km apart. A train leaves towards station B with speed of 40 km/hr at 10 pm.Another train leaves towards station A from station B with speed of 50 km/hr at 11 pm. At what time both trains meet?12 pm2 am1 am1 pm
Question
Stations A and B are 220 km apart. A train leaves towards station B with speed of 40 km/hr at 10 pm.Another train leaves towards station A from station B with speed of 50 km/hr at 11 pm. At what time both trains meet?12 pm2 am1 am1 pm
Solution
Let's solve this step by step:
Step 1: First, we need to find out how far the first train travels before the second one starts. The first train starts at 10 pm and the second one at 11 pm, so the first train has been traveling for 1 hour at a speed of 40 km/hr. Therefore, it covers a distance of 1*40 = 40 km.
Step 2: Now, the remaining distance between the two trains is 220 - 40 = 180 km.
Step 3: The two trains are now moving towards each other, one at 40 km/hr and the other at 50 km/hr. So, their relative speed is 40 + 50 = 90 km/hr.
Step 4: To find the time they will meet, we divide the total distance by their relative speed. So, 180/90 = 2 hours.
Step 5: The second train started at 11 pm, and they will meet in 2 hours. So, the two trains will meet at 11 pm + 2 hours = 1 am.
So, the answer is 1 am.
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