A boat travels 20 km upstream …
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Naveen Sharma 6 years, 11 months ago
Ans. Let the speed of boat in still water = x Km/h
rate of stream = 4 Km/h
So, Speed of Boat downstream = (x+4) Km/h
Speed of Boat upstream = (x-3) Km/h
Time Taken to travel 20 Km Upstream = {tex}{20\over x-4 }\space hour {/tex}
Time Taken to travel 30 Km Downstream = {tex}{30\over x+4} \space hour{/tex}
ATQ,
{tex}=> {20\over x-4} = {30\over x+4}{/tex}
{tex}=> 20x+ 80 = 30x - 120{/tex}
{tex}=> 30x - 20x = 120 + 80 {/tex}
{tex}=> 10 x = 200 {/tex}
=> x = 20
Speed of Boat in still water = 20 Km/h
3Thank You