1. A boat can travel 12.8 km downstream in 32 min. If the speed of the water current is 1/5th of the speed of the boat in still water, what distance (in km) the boat can travel upstream in 135 min ?
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By: anil on 05 May 2019 01.40 am
Let speed of boat in still water = $$5x$$ km/min => Speed of water current = $$x$$ km/min => Downstream speed = $$(5x + x) = 6x$$ km/min Acc. to ques, => $$6x = frac{12.8}{32}$$ => $$x = frac{0.4}{6} = frac{1}{15}$$ => Upstream speed = $$(5x - x) = 4x = frac{4}{15}$$ km/min $$ herefore$$ Distance covered by boat in 135 min = $$frac{4}{15} imes 135$$ = $$4 imes 9 = 36$$ km
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