Maths / Direct and Inverse Variation / Time and Work

QUESTION

A and B can finish a work in 20 days. A alone can do  $\dpi{120} \fn_jvn \large \frac{1}{5}$ th of the work in 12 days. How many days can B alone do it?

EXPLANATION
Explain TypeExplanation Content
Text

30 days

A and B one day work = $\dpi{120} \fn_jvn \large \frac{1}{20}$

Work of A in 12 day = $\dpi{120} \fn_jvn \large \frac{1}{5}$

Work of A in One day = $\dpi{120} \fn_jvn \large \frac{1}{5\times 12}=\frac{1}{60}$

Work of B Alone = Work of A + B - Work of A alone

$\dpi{120} \fn_jvn \large \frac{1}{20}-\frac{1}{60}=\frac{2}{60}=\frac{1}{30}$

B alone will take 30 days to complete.

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