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1. Vimal can do a piece of work in 20 days, Vimal and Kamal together can do in 12 days. If Kamal does the work only for half a day daily then in how many days the work will be completed ?

A. 14

B. 17

C. 12

D. 15

Solution:

Vimal's 1 day work =

\frac{1}{20}

Since, Vimal and Kamal can together complete in 12 days
i.e. (Vimal + Kamal)'s 1 day work =

\frac{1}{12}

Then,
Kamal's 1 day work,

= \frac{1}{12} - \frac{1}{20} \Rightarrow \frac{2}{60} \Rightarrow \frac{1}{30}

If Kamal Works only for half a day daily, then his 1 day work becomes

\frac{1}{2} \times \frac{1}{30}

\frac{1}{60}

Therefore, 1 day work of both Vimal and Kamal,

= \frac{1}{20} + \frac{1}{60} \Rightarrow \frac{4}{60} \Rightarrow \frac{1}{15}

Hence, the work will be completed in 15 days.

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