1.

Raja can do a piece of work in 20 days while Ramesh can finish it in 25 days. Ramesh started working and Raja joined him after 10 days. The whole work is completed in1). 18 days2). $16\frac{2}{3}$ days3). 20 days4). 15 days

Answer»

$\LARGE 16\frac{2}{3}$ days is correct

Let the total work is $\large 100$ UNITS.

Raja in a DAY can do $\large5$ units.

Ramesh in a day can do $\large 4$ units.

Both TOGETHER can do $\large 9$ units work in a day.

Hence In 1st $\large 10$ days ramesh FINISHED $\large 40$ units of work alone.

$\large 60 $ units of work will be completed by both of them together.

Hence No. of days $\large = \frac{60}{9} + 10 $

$ \large =\frac{50}{3}$

$ \large = 16 \frac{2}{3}$



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