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Time and Work Problem – Solve Using Shortcut Method

Learn how to solve time and work problems quickly using simple tricks useful for bank exams.


Problem

A can complete a work in 10 days. B can complete the same work in 15 days. In how many days can they complete the work together?

Picture used in bank exam problems


Try solving it before checking the solution.


Solution

Picture used in bank exam puzzles


Step-by-step explanation:

  • Work done by A in 1 day = 1/10
  • Work done by B in 1 day = 1/15
  • Work done together = 1/10 + 1/15
  • Take LCM of 10 and 15 = 30
  • (3 + 2) / 30 = 5/30 = 1/6

Therefore, total time required = 6 days


Shortcut Trick (LCM Method)

  • Take LCM of given days
  • Divide LCM by each person's time
  • Add results
  • Final time = LCM / total work units

Final Answer

Answer = 6 days


Practice More


Conclusion

Time and Work is an important topic in bank exams. Using shortcut tricks helps save time and improves accuracy.


Shaktimatha Learning
Quant • Reasoning • Bank Exams • Competitive Preparation

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