A can do a piece of work in 10 days , B can do the same in 30 days and c in 60 days . If A is assisted on alternate days by B and C, in how many days would the work get completed?

A can do a piece of work in 10 days , B can do the same in 30 days and c in 60 days . If A is assisted on alternate days by B and C, in how many days would the work get completed? Correct Answer 8

A is helped on alternate days by B and CLet, in 2x days the work would be completed, so B will work x days and c will work x days<math xmlns = "http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>&#xD7;</mo><mfrac><mn>1</mn><mn>30</mn></mfrac><mo> + </mo><mi>x</mi><mo>&#xD7;</mo><mfrac><mn>1</mn><mn>60</mn></mfrac><mo> + </mo><mi>x</mi><mo>&#xD7;</mo><mfrac><mn>1</mn><mn>10</mn></mfrac><mo>&#xA0;</mo><mo> = </mo><mo>&#xA0;</mo><mn>1</mn><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mn>2</mn><mi>x</mi><mo>&#xA0;</mo><mo> = </mo><mo>&#xA0;</mo><mn>8</mn><mspace linebreak = "newline"/><mi>S</mi><mi>o</mi><mo>&#xA0;</mo><mi>i</mi><mi>t</mi><mo>&#xA0;</mo><mi>w</mi><mi>o</mi><mi>u</mi><mi>l</mi><mi>d</mi><mo>&#xA0;</mo><mi>t</mi><mi>a</mi><mi>k</mi><mi>e</mi><mo>&#xA0;</mo><mn>8</mn><mo>&#xA0;</mo><mi>d</mi><mi>a</mi><mi>y</mi><mi>s</mi></math>
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