TCS NQT Guide TCS NQT Numerical AbilityTime and Work: Pipeline, Efficiency, and Wages Problems

Time and Work: Pipeline, Efficiency, and Wages Problems

Learn core concepts, essential formulas, and attempt practice questions designed on the latest TCS NQT testing patterns.

Key Concepts & Formulas

1Work = Rate × Time.
2If A can do a job in x days, A's 1-day work = 1/x.
3If A and B work together: Combined 1-day work = 1/x + 1/y = (x+y)/xy => Time taken = xy / (x+y).
4Wages distribution: Divided in the ratio of the work done by each.

Practice Question 1

A can complete a work in 10 days and B in 15 days. Working together, how long will they take?

A) 6 days

B) 5 days

C) 8 days

D) 7 days

Correct Answer: A) 6 days

Step-by-step Solution: Time = (x * y) / (x + y) = (10 * 15) / (10 + 15) = 150 / 25 = 6 days.

Practice Question 2

Pipe A can fill a tank in 4 hours, and Pipe B can empty it in 6 hours. If both open together, when is it full?

A) 12 hours

B) 10 hours

C) 8 hours

D) 24 hours

Correct Answer: A) 12 hours

Step-by-step Solution: Inlet rate = 1/4. Outlet rate = -1/6. Net rate = 1/4 - 1/6 = (3 - 2)/12 = 1/12. Thus, the tank will be filled in 12 hours.

Assign negative values to outlet pipes (leakages) in piping problems.