Exambodh - Practice Aptitude, Reasoning & GK Questions
Play Quiz
Quantitative Aptitude
hardQ. No. 14621-solve-this-time-and-work-question-a-is-3-times-as-fast-as-b-a-takes-40-days-less-than-b-in-how

Solve this Time and Work question: A is 3 times as fast as B. A takes 40 days less than B. In how many days can they together complete?

Last Updated:

This bilingual Time and Work item asks the learner to solve “Solve this Time and Work question: A is 3 times as fast as B. A takes 40 days less than B. The validated answer is 15 days. The explanation preserves the original question-specific working, reconstructs the governing rule, checks every relevant condition or transition, and compares all three distractors. It builds disciplined reasoning, accurate option elimination and exam-ready verification for SSC, Railway, Banking, Defence, State examinations and other competitive tests.

A25 days
B10 days
C15 days
D20 days
Correct Answer: 15 daysYour Answer: C

Explanation

The verified answer to “Solve this Time and Work question: A is 3 times as fast as B. A takes 40 days less than B. Together = 1/20+1/60 = 4/60 = 1/15. This working identifies the relevant work-rate equation and connects the given information to the required result. After applying the verified rule, the required value or position is 15 days. The alternatives 25 days, 10 days and 20 days 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. This full replay leads only to 15 days, so option C is uniquely correct. 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 15 days.
  • Question-specific Time and Work working connects the stated clues or terms directly with 15 days.
  • Options 25 days, 10 days, 20 days 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 15 days.

Related Questions

View All
16945-solve-this-time-and-work-question-a-contractor-estimates-that-24-workers-can-complete-a-communitySolve this Time and Work question: A contractor estimates that 24...16944-solve-this-time-and-work-question-twenty-workers-can-complete-a-drainage-project-in-36-days-afterSolve this Time and Work question: Twenty workers can complete a...16943-solve-this-time-and-work-question-a-team-of-18-workers-completes-a-road-survey-in-30-days-bySolve this Time and Work question: A team of 18 workers completes...
Previous QuestionNext Question

Test your Time and Work knowledge

Start Topic Test

FAQ

Time and Work FAQs

Common questions and clear answers for this topic.

What is the verified answer to “Solve this Time and Work question: A is 3 times as fast as B. A takes 40 days less than B. In how many days can they together complete?”?

15 days, option C.

Which method solves this Time and Work item?

Rebuild and verify the complete work-rate equation.

Why are the other options incorrect?

25 days, 10 days, 20 days 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.

Same Topic MCQs

View All
Solve this Time and Work question: A contractor estimates that 24 workers can compl...Solve this Time and Work question: Twenty workers can complete a drainage project i...Solve this Time and Work question: A team of 18 workers completes a road survey in...