Question : Two trains start at the same time from A and B and proceed toward each other at speeds of 75 km/hr and 50 km/hr respectively. When both meet at a point in between, one train was found to have travelled 175 km more than the other. Find the distance between A and B.
Option 1: 875 km
Option 2: 785 km
Option 3: 758 km
Option 4: 857 km
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Correct Answer: 875 km
Solution : Let the trains meet after t hours. Speed of train A = 75 km/hr Speed of train B = 50 km/hr Distance covered by train A = 75 × t = 75t Distance covered by train B = 50 × t = 50t Distance = Speed × Time According to the question, 75t − 50t = 175 ⇒ 25t = 175 $\therefore$ t = 7 hours $\therefore$ Distance between A and B = 75t + 50t = 125t = (125 × 7) = 875 km Hence, the correct answer is 875 km.
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