A steamer goes downstream from one …
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Khushbu Kumawat 6 years, 7 months ago
Let the speed of the steamer in still water be {tex}x \; km/hour{/tex}
so the speed in condition of down stream ={tex}x+1\; km/hour{/tex}
and speed in condition of upstream={tex}x-1\; km/hour{/tex}
we know that {tex}speed= {distance\over time}{/tex}
distance = speed Xtime
In first condition and second Distance is equal so
{tex}(x+1)\times9=(x-1)\times10{/tex}
{tex}\implies 9x+9=10x-10{/tex}
{tex}\implies x=19 km/hour{/tex}
speed of the steamer in still water{tex}=19 km/hour{/tex}
and Distance={tex}(19+1)\times9=180km{/tex}
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