The speed if boat in still …
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Rashmi Bajpayee 6 years, 11 months ago
Let the speed of the stream be {tex}x{/tex} km/hr.
We know that, Speed = {tex}{{{\rm{Distance}}} \over {{\rm{Time}}}}{/tex}
Speed in upstream = (x -30) Km/h and Speed in downstream =(x + 30) Km/h
Then, Time = {tex}{{{\rm{Distance}}} \over {{\rm{Speed}}}}{/tex}
According to question,
{tex}{5 \over {x - 30}} = {{10} \over {x + 30}}{/tex}
=> {tex}5\left( {x + 30} \right) = 10\left( {x - 30} \right){/tex}
=> {tex}5x+150=10x-300{/tex}
=> {tex}10x-5x=150+300{/tex}
=> {tex}5x=450{/tex}
=> {tex}x=90{/tex}
Therefore, the speed of stream is 90 km/hr
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