Select the correct answerStations 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?Options3 pm2 pm1 am2 am
Question
Select the correct answerStations 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?Options3 pm2 pm1 am2 am
Solution
To solve this problem, we need to calculate the time at which both trains meet.
Step 1: Calculate the distance covered by the first train before the second train starts. The first train starts at 10 pm and the second train starts at 11 pm. So, the first train has already been traveling for 1 hour before the second train starts. The speed of the first train is 40 km/hr. Therefore, in 1 hour, the first train covers a distance of 40 km/hr * 1 hr = 40 km.
Step 2: Calculate the remaining distance between the two trains. The total distance between stations A and B is 220 km. The first train has already covered 40 km. So, the remaining distance is 220 km - 40 km = 180 km.
Step 3: Calculate the time it takes for both trains to cover the remaining distance. Both trains are now moving towards each other. So, their combined speed is 40 km/hr + 50 km/hr = 90 km/hr. The time it takes for them to cover the remaining distance is 180 km / 90 km/hr = 2 hours.
Step 4: Calculate the time at which both trains meet. The second train started at 11 pm. It takes 2 hours for both trains to meet. So, they meet at 11 pm + 2 hours = 1 am.
So, the correct answer is 1 am.
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