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Question

X can complete a certain work in the same time in which Y and Z together can do it . If X and Y together can finish it in 10 days and Z alone in 15 days , then Y alone can do it in ?

22 days

25 days

18 days

20 days

ANSWER : 4

Descrption

<pre>
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mi>x</mi></mfrac><mo> = </mo><mfrac><mn>1</mn><mi>y</mi></mfrac><mo>  +  </mo><mfrac><mn>1</mn><mi>z</mi></mfrac><mspace linebreak = "newline"/><mi>a</mi><mi>n</mi><mi>d</mi><mo>&#xA0;</mo><mfrac><mn>1</mn><mi>x</mi></mfrac><mo>  +  </mo><mfrac><mn>1</mn><mi>y</mi></mfrac><mo> = </mo><mfrac><mn>1</mn><mn>10</mn></mfrac><mo>.</mo><mo>.</mo><mo>.</mo><mo>(</mo><mi>i</mi><mi>i</mi><mo>)</mo><mo>&#xA0;</mo><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mfrac><mn>1</mn><mi>x</mi></mfrac><mo> - </mo><mfrac><mn>1</mn><mi>y</mi></mfrac><mo> = </mo><mfrac><mn>1</mn><mn>15</mn></mfrac><mo>.</mo><mo>.</mo><mo>&#xA0;</mo><mo>(</mo><mi>i</mi><mo>)</mo><mo>&#xA0;</mo><mspace linebreak = "newline"/><mo>(</mo><mi>i</mi><mo>)</mo><mo> - </mo><mo>(</mo><mi>i</mi><mi>i</mi><mo>)</mo><mo>&#xA0;</mo><mo>&#x21D2;</mo><mo> - </mo><mfrac><mn>2</mn><mi>y</mi></mfrac><mo> = </mo><mfrac><mn>1</mn><mn>15</mn></mfrac><mo> - </mo><mfrac><mn>1</mn><mn>10</mn></mfrac><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mo> - </mo><mfrac><mn>2</mn><mi>y</mi></mfrac><mo> = </mo><mfrac><mrow><mn>2</mn><mo> - </mo><mn>3</mn></mrow><mn>30</mn></mfrac><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mo> - </mo><mfrac><mn>2</mn><mi>y</mi></mfrac><mo> = </mo><mo> - </mo><mfrac><mn>1</mn><mn>30</mn></mfrac><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mfrac><mn>1</mn><mi>y</mi></mfrac><mo> = </mo><mfrac><mn>1</mn><mn>60</mn></mfrac><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mo>&#xA0;</mo><mi>y</mi><mo> = </mo><mn>60</mn><mo>&#xA0;</mo><mi>d</mi><mi>a</mi><mi>y</mi><mi>s</mi><mo>&#xA0;</mo></math>
</pre>

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