InterviewSolution
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InterviewSolution
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r whose speed is 18 km/hr in still water takes 1hr more to go 24 kmupstream than to return downstream to the same spot. Fidthe speod of the stream |
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Answer» Given : The speed of the motor bike instill water is 18 kmph, It takes 1 hour to travel upstream & return to same spot,. From this information we can say that, ⇒ The speed of motor boat (boat's engine) = 18 kmph , ⇒ It traveled 24 km upstream & 24km downstream in 1 hour,. To Find :The speed of stream Distance upstream = Distance downstream = 24 km Speed of the boat going upstream, vup=18−x Speed of the boat going downstream, vdown=18+x Time taken going upstream, tup=Distance upstreamSpeed upstream =2418−x tup=2418−x -------- (1) Time taken going downstream, tdown=Distance downstreamSpeed downstream =2418+xor tdown=2418+x --------- (2) Using equation (1), (2) and (A):2418−x=2418+x+1 24(18+x)=24(18−x)+(18+x)(18−x) 24∗18+24x=24∗18−24x+182−x2x^2+48x−182=0x^2+54x−6x−324=0(x+54)(x−6)=0x =6 (Rejecting negative value of x) |
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