1. A boat covers a distance of 2.75 km upstream in 11 minutes. The ratio between speed of current and that of boat downstream is 1 : 7 respectively. The boat covers distance between A and B downstream in 52 minutes. What is the distance between point A and point B ?






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  • By: anil on 05 May 2019 01.30 am
    Let speed of boat in still water = x kmph Speed of current = y kmph => Rate upstream = $$(x - y)$$ kmph and Rate downstream = $$(x + y)$$ kmph => $$frac{y}{x + y} = frac{1}{7}$$ => $$7y = x + y$$ => $$x = 6y$$ Again, $$frac{2.75}{x - y} = frac{11}{60}$$ => $$x - y = frac{60 * 2.75}{11}$$ => $$6y - y = 15$$ => $$y = frac{15}{5} = 3$$kmph and $$x = 6 * 3 = 18$$ kmph Thus, rate downstream = 18 + 3 = 21 kmph $$ herefore$$ Distance between points A & B = rate downstream * time = $$21 imes frac{52}{60} = 18.2$$ km
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