Question
Two trains start at the same time, one train travelling
from Bengaluru to Chennai and the other travelling from Chennai to Bengaluru, and they proceed towards each other on parallel tracks at 80 km/h and 95 km/h, respectively. When they meet, it is found that one train has travelled 180 km more than the other. What is the distance between Bengaluru and Chennai?Solution
Given: Train A speed = 80 km/h Train B speed = 95 km/h One train travels 180 km more than the other when they meet Both start at the same time Let time = t hours Distance by Train A = 80t Distance by Train B = 95t Difference in distance = 95t − 80t = 15t So, 15t = 180 t = 180 / 15 = 12 hours Total distance = 80t + 95t = 175t = 175 × 12 = 2100 km
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