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A motor boat whose speed is 18 km/h 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. ❌✖️Unwanted answer will be reported ✖️❌✅✅Best answer will be mark as brainliest✅✅​

Answer»

boat WHOSE speed is 18 km/h 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.[tex]\sf{ \Large\red{\bfA}}}NSW \underline{R\ \}\Large( \!! \color(lightblue}{\}/tex]Given:- Speed of boat =18km/hrDistance =24kmLet x be the speed of stream.Let t 1 and t 2 be the time for upstream and downstream.As we know that,speed= timedistance ⇒time= speeddistance For upstream,Speed =(18−x)km/hrDistance =24kmTime =t 1 THEREFORE,t 1 = 18−x24 For downstream,Speed =(18+x)km/hrDistance =24kmTime =t 2 Therefore,t 2 = 18+x24 Now according to the question-t 1 =t 2 +118−x24 = 18+x24 +1⇒ 18−x1 − 18+x1 = 241 ⇒ (18−x)(18+x)(18+x)−(18−x) = 241 ⇒48x=(18−x)(18+x)⇒48x=324+18x−18x−x 2 ⇒x 2 +48x−324=0⇒x 2 +54x−6x−324=0⇒x(x+54)−6(x+54)=0⇒(x+54)(x−6)=0⇒x=−54 or x=6Since speed cannot be negative.⇒x=−54∴x=6Thus the speed of stream is 6km/hrHence the correct ANSWER is 6km/hr.



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