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Question

In still water, a boat can travel at 5 km/hr. It takes 1 hour to row to a place and come back If the velocity of the stream is 1 km/hr, how far is the place?

2.4 km

3.5 km

2.6 km

None of these

ANSWER : 1

Descrption

<pre>
Boat Velocity  = 5 km/hr
Stream Velocity  = 1 km/hr
Let, distance  = x km
time of down stream 
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mi>x</mi><mrow><mn>5</mn><mo>  +  </mo><mn>1</mn></mrow></mfrac><mo> = </mo><mfrac><mi>x</mi><mn>6</mn></mfrac><mi>h</mi><mi>r</mi><mspace linebreak = "newline"/><mi>t</mi><mi>i</mi><mi>m</mi><mi>e</mi><mo>&#xA0;</mo><mi>o</mi><mi>f</mi><mo>&#xA0;</mo><mi>u</mi><mi>p</mi><mo>&#xA0;</mo><mi>s</mi><mi>t</mi><mi>r</mi><mi>e</mi><mi>a</mi><mi>m</mi><mo>&#xA0;</mo><mo> = </mo><mfrac><mi>x</mi><mrow><mn>5</mn><mo> - </mo><mn>1</mn></mrow></mfrac><mspace linebreak = "newline"/><mo> = </mo><mfrac><mi>x</mi><mn>4</mn></mfrac><mi>h</mi><mi>r</mi><mspace linebreak = "newline"/><mi>A</mi><mi>T</mi><mi>Q</mi><mo>,</mo><mo>&#xA0;</mo><mfrac><mi>x</mi><mn>4</mn></mfrac><mo>  +  </mo><mfrac><mi>x</mi><mn>6</mn></mfrac><mo> = </mo><mn>1</mn><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mfrac><mrow><mn>3</mn><mi>x</mi><mo>  +  </mo><mn>2</mn><mi>x</mi></mrow><mn>12</mn></mfrac><mo> = </mo><mn>1</mn><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mn>5</mn><mi>x</mi><mo> = </mo><mn>12</mn><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mi>x</mi><mo> = </mo><mfrac><mn>12</mn><mn>5</mn></mfrac><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mo>&#xA0;</mo><mi>x</mi><mo> = </mo><mn>2</mn><mo>.</mo><mn>4</mn><mo>&#xA0;</mo><mi>k</mi><mi>m</mi></math>

</pre>

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