1. A boat travels from A to B upstream and then from B to C downstream taking the same time. The respective ratio between the distance from A to B and the distance from B to C is 5 : 7. If the boat takes 2 hours 30 min to travel a distance of 35 km downstream, what is the speed of the stream ? (in km/h)
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- By: anil on 05 May 2019 01.21 amLet distance between AB = $$5x$$ and BC = $$7x$$ Downstream speed = $$frac{35}{2.5} = 14$$ km/h Let upstream speed = $$y$$ km/h Now, $$time = frac{distance}{speed}$$ => $$frac{5x}{y} = frac{7x}{14}$$ => $$frac{5}{y} = frac{1}{2}$$ => $$y = 5 imes 2 = 10$$ km/h Now, speed of stream = $$frac{1}{2}$$ (downstream - upstream) = $$frac{1}{2} (14 - 10)$$ = $$frac{4}{2} = 2$$ km/h
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