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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