Complete Original Study Notes for Banking, SSC and Railway Exams
These notes are written in simple, student-friendly English with original explanations, step-by-step formulas, solved examples, shortcut methods and practice questions. You can use them to teach your students or prepare your own study material.
In competitive mathematics, work means the task completed by a person or machine.
For example, if a worker paints a wall, the painting is the work.
Total work is the complete task.
Time is the duration required to complete it.
Efficiency is the amount of work completed per unit of time.
Time is the duration required to complete a given task.

This means the person completes one-tenth of the entire work each day.
Efficiency is the speed at which a person completes work.

2. Important formulas

Example 1: A can complete a piece of work in 12 days. How much work will A complete in one day?
Step 1: Identify the total time.
Step 2: Apply the formula.
One-day work=1/12
Answer: 1/12 of the total work.
Example 2: B can complete a job in 20 days. Find the work completed in 5 days.
Step 1: Find one-day work.
Step 2: Multiply by the number of days.
5*1/20=1/4
Answer: B completes \(\frac14\) of the work.

Example 3:

5. Type 3: Three people working together

6. Type 4: Efficiency ratio and time ratio

7. Type 5: Using the LCM method

8. Type 6: Men, days and hours


