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SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Standard XIMathsQuestionA motorboat whose speed in still water is 18 km/h, takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.Open in AppSolutionVerified by Toppr

Given:Speed of boat in still water = 18km/hrLet speed of the stream = sSpeed of boat upstream = Speed of boat in still water - speed of stream = 18−sSpeed of boat down stream = Speed of boat in still water + speed of stream = 18+sTime taken for upstream = Time taken to cover downstream + 1⇒DistanceupstreamSpeedupstream=DistancedownstreamSpeeddownstream+1⇒2418−s=2418+s+1⇒24(18+s)=24(18−s)+(18−s)(18+s)⇒s2+48s−324=0⇒s2+54s−6s−324=0⇒(s+54)(s−6)=0⇒s=6,−54⇒s≠−54Thus, s=6km/hr, Speed of steam cannot be negative.

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A motor boat whose speed is 18 kmhr in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream in km/hr.​

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