Aspire Faculty ID #17792 · Topic: TANCET MCA 2024 · Just now
TANCET MCA 2024

Anish and Bala can do a work in 8 days, Bala and Cynthia can do the same work in 12 days. Anish, Bala and Cynthia finish it together in 6 days. How many days A and C will together do it?

Solution

$A+B=frac{1}{8}$, $B+C=frac{1}{12}$, $A+B+C=frac{1}{6}$
$B=frac{1}{8}+frac{1}{12}-frac{1}{6}=frac{1}{24}$
$A+C=frac{1}{6}-frac{1}{24}=frac{1}{8}$
Hence, required time is 8 days.

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