Aptitude:speed and distance [Section 1 of 1] Q27 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 04:02Select the correct answerTwo 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?
Question
Aptitude:speed and distance [Section 1 of 1] Q27 of 30 Marks 1 General Instructions 100% ×CloseTest time left: 04:02Select the correct answerTwo 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?
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: When the two trains meet, the difference in the distances they have covered is given as 48 km. This means that the time they have been traveling is the same. So, we can find this time by dividing the difference in distance by the relative speed. Time = 48 km / 78 kmph = 0.6154 hours.
Step 3: Now, we can find the distance each train has traveled. The distance traveled by the first train = speed * time = 36 kmph * 0.6154 hours = 22.15 km. The distance traveled 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 traveled by the two trains = 22.15 km + 25.85 km = 48 km.
So, the distance between A and B is 48 km.
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