Question
A train travels from A to B at a speed of 60 km/h, and
then from B to C at a speed of 80 km/h. The total distance covered from A to C is 240 km, and the total time taken is 3.5 hours. What is the distance between B and C?Solution
Let the distance from A to B be x km, and the distance from B to C be (240 - x) km. Time taken to travel from A to B = x / 60, Time taken to travel from B to C = (240 - x) / 80. The total time taken is 3.5 hours, so: x / 60 + (240 - x) / 80 = 3.5. Multiply through by 240 (LCM of 60 and 80) to eliminate the denominators: 4x + 3(240 - x) = 840, 4x + 720 - 3x = 840, x = 120. Thus, the distance between B and C is 240-120 = 120 km.
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