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Solve this Time and Work question: Aarti can do a job in 10 days and Kusum in 15 days. They work on alternate days, beginning with Aarti. What percentage of the job is completed in 6 days?

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This bilingual Time and Work item asks the learner to solve “Solve this Time and Work question: Aarti can do a job in 10 days and Kusum in 15 days. They work on alternate days, beginning with Aarti. What percentage of the job is completed in 6 days?” through a complete, auditable work-rate equation. The explanation preserves the original question-specific working, reconstructs the governing rule, checks every relevant condition or transition, and compares all three distractors.

A51 %
B52 %
C48 %
D50 %
Correct Answer: 50 %Your Answer: D

Explanation

The verified answer to “Solve this Time and Work question: Aarti can do a job in 10 days and Kusum in 15 days. They work on alternate days, beginning with Aarti. What percentage of the job is completed in 6 days?” is 50 %, option D. The question-specific working supplied with the item states: here are 3 working days of Aarti and 3 of Kusum. Completed work = 3/10+3/15 = 0.5, or 50%. This working identifies the relevant work-rate equation and connects the given information to the required result. The alternatives 51 %, 52 % and 48 % fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete work-rate equation. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

Important Notes

  • Rebuild the complete Time and Work work-rate equation before selecting 50 %.
  • Question-specific Time and Work working connects the stated clues or terms directly with 50 %.
  • Options 51 %, 52 %, 48 % each break a condition or transition in this Time and Work item.
  • Replay every step in the Time and Work work-rate equation to independently confirm 50 %.

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Time and Work FAQs

Common questions and clear answers for this topic.

What is the verified answer to “Solve this Time and Work question: Aarti can do a job in 10 days and Kusum in 15 days. They work on alternate days, beginning with Aarti. What percentage of the job is completed in 6 days?”?

50 %, option D.

Which method solves this Time and Work item?

Rebuild and verify the complete work-rate equation.

Why are the other options incorrect?

51 %, 52 %, 48 % break a clue, direction, transition or operation.

How should the answer be checked?

Replay the rule from the first clue or term and test every intermediate step.

What is Time and Work and what is the basic concept?

Time and Work problems involve finding how long it takes to complete a task. Basic concept: If A can do a work in n days, A's one day work = 1/n. If A and B together can do work in n days, combined one day work = 1/n. Key formula: Total Work = Efficiency x Time. Time and Work is a major topic in SSC CGL, IBPS Bank PO, SBI PO, CAT, and Railway exams.

How to solve Time and Work problems using LCM method?

LCM Method: Assume total work = LCM of given days. Calculate each person's work per day = Total work divided by Days. Combined work per day = Sum of individual work rates. Time = Total work divided by Combined rate. Example: A can do work in 10 days, B in 15 days. LCM(10,15) = 30 units. A's daily work = 3 units, B's = 2 units. Together = 5 units/day. Time = 30/5 = 6 days. This avoids fractions and is much faster.

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