CAT 2021 Slot 2 QA Question 16: Anil can paint a house in 60 days while Bimal can paint it in 84 days. Anil starts painting and after 10 days, Bimal and Charu join him. Together, they complete the painting in 14 more days. If they a

Question

Anil can paint a house in 60 days while Bimal can paint it in 84 days. Anil starts painting and after 10 days, Bimal and Charu join him. Together, they complete the painting in 14 more days. If they a

Accepted Answer

Anil works for $10 + 14 = 24$ days. Bimal and Charu each work for $14$ days.

$	ext{Work done by Anil} = \dfrac{24}{60} = \dfrac{2}{5}$
$	ext{Work done by Bimal} = \dfrac{14}{84} = \dfrac{1}{6}$

Therefore, Charu does the remaining work.
$	ext{Charu work} = 1 - \dfrac{2}{5} - \dfrac{1}{6}$
$= \df