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Select the correct answerTwo trains starting at the same time from two stations 220 km one train start from A at 7 a.m. And travels towards B at 40 kmph. Another train starts from B at 8 am and travels towards A at a speed of 50 kmph. At what time will they meet?Options9 am10 am10:30 am9:30 am

Question

Select the correct answerTwo trains starting at the same time from two stations 220 km one train start from A at 7 a.m. And travels towards B at 40 kmph. Another train starts from B at 8 am and travels towards A at a speed of 50 kmph. At what time will they meet?Options9 am10 am10:30 am9:30 am

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Solution

To solve this problem, we need to calculate the time at which the two trains will meet.

Step 1: Calculate the distance covered by the first train from 7 am to 8 am. The first train travels at a speed of 40 kmph, so in one hour it will cover 40 km.

Step 2: Subtract this distance from the total distance between the two stations. The total distance is 220 km, so after subtracting the 40 km covered by the first train, we have 180 km remaining.

Step 3: Calculate the time it takes for the two trains to cover this remaining distance. Now, both trains are moving towards each other, one at 40 kmph and the other at 50 kmph, so their combined speed is 90 kmph. To find the time it takes for them to meet, we divide the remaining distance by their combined speed: 180 km / 90 kmph = 2 hours.

Step 4: Add this time to the time at which the second train started. The second train started at 8 am, so adding 2 hours to this gives us 10 am.

So, the two trains will meet at 10 am. The correct answer is 10 am.

This problem has been solved

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