Question

216.
X can do a piece of work in 24 days. When he
had worked for 4 days, Y joined him. If com-
plete work was finished in 16 days, Y can alone
finish that work in :
X किसी काम को 24 दिन में पूरा कर सकता है।
जब उसने 4 दिन काम कर लिया तब Y भी उसके
साथ शामिल हो गया। यदि समस्त काम 16 दिन
में पूरा हो गया, तो Y अकेले उस काम को कितने
दिन में पूरा कर सकता था?
Short trick

Answer 1

Answer:

36 days

Step-by-step explanation;

X can complete the work in 24 days.

So, work done by X in 1 day = 1/24th work

Therefore, work done by him in 4 days = 4*1/24 = 1/6th work

Remaining work to be finished by both X and Y = 1 -1/6 = 5/6

They finish it in (16-4) i.e 12 days. Therefore, work done by both in 1 day = (5/6)/12 = 5/ 72.

Now, work done in 1 day by X alone = 1/24

Therefore, work done by Y alone in 1 day = 5/72 - 1/24 = 2/72 = 1/36

Hence, Y alone can finish the work in 1/(1/36) i.e 36 days.