Banking Math Exam Question - Unitary Method - Solve the Following Unitary Method Question by Finding the Z Can Finish the Work Alone?

Introduction - Unitary Method

Unitary method is the method of first finding out the value of a unit and then using it to find the alue of more units is known as unitary method.The unitary method is a mathematical technique which is used for solving a problem by finding the value of a single unit, such as 1, (by dividing) and then finding the necessary value by multiplying the single unit value.

Solve:

If a job finishes X, Y, Z together in 20 days. If you want to finish the work alone, you can spend 40 days and Y alone for 60 days, if you can finish Z alone?

X + Y + Z does one thing for 20 days.

Here, X + Y + Z sits 1/20 days in 1 day. The X alone works for 40 days. The X alone works 1/40 in 1 day. Bye, Y alone does the work 60 days. Y alone runs 1/60 seconds in 1 business. X + Y has one day work = 1/40 + 1/60 part. = 3 + 2/120 = 5/120 = 1/24
Z of 1 day work = (1/20 - 1/24) part = 6-5 / 120 = 1/120 Z alone works 1/120 days.
Answer: Therefore, Z alone works in 120 days.