Question
A boat goes x km downstream from A to B and then returns upstream to D, where BD = x/1.8. If total time taken is 52 hours, boat speed in still water is 24 km/hr and stream speed is 6 km/hr, find AB.
Solution
ATQ, Speed of the boat downstream = 24 + 6 = 30 km/hr Speed of the boat upstream = 24 – 6 = 18 km/hr Let distance between A and B = x km Then, according to the question, x/30 + (x/1.8)/18 = 52 x/30 + (5x/9)/18 = 52 x/30 + 5x/162 = 52 (27x + 25x)/810 = 52 52x/810 = 52 x = 810 km
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