Work Rate Calculator: Time and Work, A and B Together
Enter how long each person takes alone. See how long they take together, each person's share of the work and the worked solution.
- Nothing you type is stored
- Free
- No signup
Time working together
6days
- A's share of work
- 60%
- B's share of work
- 40%
Together they finish 16.67% of the job per day or hour.
Show working
- A: 1/10, B: 1/15
- 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6
- T = 6/1 = 6
How to use
- Choose days or hours.
- Enter the time A and B each take to finish the job alone. Add C if there is a third person.
- Read the time together, each share and the fraction steps.
Good to know
Each person's rate is 1 ÷ their time. Together: 1/T = 1/a + 1/b. If A takes 10 days and B takes 15, then 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6, so together they take 6 days.
Work is shared in proportion to speed: in those 6 days A does 6/10 = 60% of the job and B does 40%. This is how wages are split in ‘A and B together earn ₹…’ questions in SSC, bank and railway exams.
The calculator assumes each person works at a steady rate and does not slow the others down. Real projects have hand-offs and breaks, so use it for estimates and practice problems.
Questions
What is the formula for A and B working together?
Time together = (a × b) ÷ (a + b) for two people. With 10 and 15 days: 150 ÷ 25 = 6 days.
How do I add a third person?
Enter C's time. The formula becomes 1/T = 1/a + 1/b + 1/c.
How is the work or wage shared?
In proportion to each person's rate. The shares are shown as percentages.
Can I use hours instead of days?
Yes. Choose hours; the formula is the same.
What about a pipe filling and another emptying a tank?
That needs a minus sign for the emptying pipe, which this tool does not do. Use 1/T = 1/a − 1/b by hand.