Two trains start at the same time from A & B and proceed towards B & A at 36 kmph & 42 kmph respectively. When they meet, it is found that one train has moved 48 km more than the other. What is the distance between A and B?Options460 km636 km624 km544 km
Question
Two trains start at the same time from A & B and proceed towards B & A at 36 kmph & 42 kmph respectively. When they meet, it is found that one train has moved 48 km more than the other. What is the distance between A and B?Options460 km636 km624 km544 km
Solution
The problem can be solved using the concept of relative speed.
Step 1: Calculate the relative speed of the two trains. Since they are moving towards each other, their speeds are added. So, the relative speed = 36 kmph + 42 kmph = 78 kmph.
Step 2: The problem states that when the trains meet, one has travelled 48 km more than the other. This means that they would have travelled these extra 48 km during the time they were moving towards each other. So, the time it takes for the trains to meet = 48 km / 78 kmph = 0.6154 hours.
Step 3: Now, we can find the distance each train travelled until they met. The distance travelled by the first train = speed * time = 36 kmph * 0.6154 hours = 22.15 km. The distance travelled by the second train = speed * time = 42 kmph * 0.6154 hours = 25.85 km.
Step 4: The total distance between A and B is the sum of the distances travelled by the two trains until they met. So, the distance between A and B = 22.15 km + 25.85 km = 48 km.
Therefore, the distance between A and B is 48 km. However, none of the options match this answer. There seems to be a mistake in the problem or the options provided.
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