Use our free Time and Work Problem Calculator to quickly determine project completion times, individual work rates, or total work required. Perfect for students, project planners, and anyone needing to solve complex efficiency problems effortlessly. Get instant, accurate results for your time and work calculations.
Formula:
The fundamental concept for combined work is based on individual work rates. If Worker A takes TA time to complete a task, their rate is 1/TA. Similarly, Worker B's rate is 1/TB. When working together, their rates add up:
Combined Rate = 1/TA + 1/TB
The total time (TTotal) taken to complete the task together is the reciprocal of their combined rate:
TTotal = 1 / (1/TA + 1/TB)
Which simplifies to:
TTotal = (TA × TB) / (TA + TB)
Where:
TA = Time taken by Worker A alone
TB = Time taken by Worker B alone
TTotal = Time taken by Worker A and Worker B working together