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Three persons are working on a project. 1st person is 40% more efficient than 2nd person, who is 20% more efficient than 3rd person. 1st person takes 10 days less than 2nd person to complete the work.1st person starts the evaluation work and works for 10 days and then 2nd person takes over. 2nd person evaluates for next 15 days and then stops. In how many days, 3rd person can complete the remaining evaluation work?
  • a)
    7.2 days
  • b)
    9.5 days
  • c)
    11.5 days
  • d)
    10 days
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Three persons are working on a project. 1stperson is 40% more efficien...
►As per the information given, the ratio of efficiencies of their efficiencies are 42 : 30 : 25
►Hence, the ratio of time taken by 1st and 2nd person = 5 : 7
►1st person takes 10 days less than 2nd person, tmie taken by them will be 25 days and 35 days respectively.
►Hence, time taken by 3rd person will be 42 days.
►Part of the work completed by 1st person = 2 / 5
►Part of work completed by 2nd person = 3 / 7
►Remaining work = 1 - (275 + 3 / 7) = 6 / 35
►So 3rd person can complete it in
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Most Upvoted Answer
Three persons are working on a project. 1stperson is 40% more efficien...
Let's assume that the 3rd person takes x days to complete the remaining evaluation work.

Efficiency Comparison
- 1st person is 40% more efficient than the 2nd person.
- 2nd person is 20% more efficient than the 3rd person.

Let's calculate the relative efficiencies of each person:

- Efficiency of the 1st person = 100% + 40% = 140%
- Efficiency of the 2nd person = 100% + 20% = 120%
- Efficiency of the 3rd person = 100%

Time taken by each person
- 1st person works for 10 days and completes a certain portion of the work.
- 2nd person takes over and evaluates for 15 days, completing the remaining portion of the work.

Now, let's calculate the time taken by each person:

- Time taken by the 1st person = 10 days
- Time taken by the 2nd person = x days (remaining evaluation work)
- Time taken by the 3rd person = x days (remaining evaluation work)

Efficiency x Time = Work

- Work done by the 1st person = Efficiency of the 1st person x Time taken by the 1st person
- Work done by the 2nd person = Efficiency of the 2nd person x Time taken by the 2nd person
- Work done by the 3rd person = Efficiency of the 3rd person x Time taken by the 3rd person

We know that the work done by the 1st person + the work done by the 2nd person = the total work.

Work done by the 1st person + Work done by the 2nd person = Total work
(Efficiency of the 1st person x Time taken by the 1st person) + (Efficiency of the 2nd person x Time taken by the 2nd person) = Total work

140% x 10 + 120% x 15 = 100%

Simplifying the equation:

1400 + 1800 = 100%

3200 = 100%

Total work = 3200

We also know that the work done by the 2nd person + the work done by the 3rd person = the total work.

Work done by the 2nd person + Work done by the 3rd person = Total work
(Efficiency of the 2nd person x Time taken by the 2nd person) + (Efficiency of the 3rd person x Time taken by the 3rd person) = Total work

(120% x x) + (100% x x) = 3200

1.2x + x = 3200

2.2x = 3200

x = 3200/2.2

x ≈ 1454.55

Therefore, the 3rd person can complete the remaining evaluation work in approximately 1454.55 days.

Rounding it to the nearest whole number, the 3rd person can complete the remaining evaluation work in approximately 1455 days.

Converting it to decimal form:

1455/365 ≈ 3.997

Therefore, the 3rd person can complete the remaining evaluation work in approximately 3.997 years.

Converting it to days:

0.997 x
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Three persons are working on a project. 1stperson is 40% more efficient than 2ndperson, who is 20% more efficient than 3rdperson. 1stperson takes 10 days less than 2ndperson to complete the work.1stperson starts the evaluation work and works for 10 days and then 2ndperson takes over. 2ndperson evaluates for next 15 days and then stops. In how many days, 3rdperson can complete the remaining evaluation work?a)7.2 daysb)9.5 daysc)11.5 daysd)10 dayse)None of theseCorrect answer is option 'A'. Can you explain this answer?
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Three persons are working on a project. 1stperson is 40% more efficient than 2ndperson, who is 20% more efficient than 3rdperson. 1stperson takes 10 days less than 2ndperson to complete the work.1stperson starts the evaluation work and works for 10 days and then 2ndperson takes over. 2ndperson evaluates for next 15 days and then stops. In how many days, 3rdperson can complete the remaining evaluation work?a)7.2 daysb)9.5 daysc)11.5 daysd)10 dayse)None of theseCorrect answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Three persons are working on a project. 1stperson is 40% more efficient than 2ndperson, who is 20% more efficient than 3rdperson. 1stperson takes 10 days less than 2ndperson to complete the work.1stperson starts the evaluation work and works for 10 days and then 2ndperson takes over. 2ndperson evaluates for next 15 days and then stops. In how many days, 3rdperson can complete the remaining evaluation work?a)7.2 daysb)9.5 daysc)11.5 daysd)10 dayse)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three persons are working on a project. 1stperson is 40% more efficient than 2ndperson, who is 20% more efficient than 3rdperson. 1stperson takes 10 days less than 2ndperson to complete the work.1stperson starts the evaluation work and works for 10 days and then 2ndperson takes over. 2ndperson evaluates for next 15 days and then stops. In how many days, 3rdperson can complete the remaining evaluation work?a)7.2 daysb)9.5 daysc)11.5 daysd)10 dayse)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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