Question
A ship requires 9 hours to travel a distance of 216 km
downstream and 210 km upstream. If the ratio of the ship's speed in calm waters to the speed of the current is 8:1, determine the time it takes for the ship to traverse 336 km in calm waters.Solution
ATQ, Let, speed of Ship in still water and speed of stream be '8a' km/h and 'a' km/h respectively. So, (216/9a) + (210/7a) = 9 (24/a) + (30/a) = 9 a = 6 Speed of Ship in still water = 8a = 48 km/h Required time = (336/48) = 7 hrs
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