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Standard VIII

Mathematics

Compound Variation

A and B can d...

Question

A and B can do a piece of work in 24 and 30 days respectively. Both started the work and worked for 6 days. Then B leaves the work and C joins and the remaining work is completed by A and C together in 11 days. Find the days in which C alone can do the work.

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100

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120

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130

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None of these

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Solution

The correct option is C 120
$(\frac{1}{24} + \frac{1}{30}) \times 6 + (\frac{1}{24} + \frac{1}{C}) \times 11 = 1$
$\Rightarrow C = 120$

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A and B can do a piece of work in 24 and 30 days respectively. Both started the work and worked for 6 days. Then B leaves the work and C joins and the remaining work is completed by A and C together in 11 days. Find the days in which C alone can do the work.

The correct option is C 120(124+130)×6+(124+1C)×11=1 ⇒C=120

The correct option is C 120
$(\frac{1}{24} + \frac{1}{30}) \times 6 + (\frac{1}{24} + \frac{1}{C}) \times 11 = 1$
$\Rightarrow C = 120$