RRB Group D / RPF Constable Exam > RRB Group D / RPF Constable Questions > Three professors P, Q, R are evaluating answe...
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Three professors P, Q, R are evaluating answer script of a subject. P is 40 more efficient than Q, who is 20 more efficient than R. P takes 10 days less than Q to complete the evaluation work. P starts the evaluation work and works for 10 days and then Q takes over. Q evaluates for next 15 days and then stops. In how many days, R can complete the remaining evaluation work?
- a)6.2 days
- b)7.2 days
- c)8.2 days
- d)9.2 days
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Three professors P, Q, R are evaluating answer script of a subject. P ...
Let R takes x days to complete the work, then
1/P = (140/100)*1/Q and 1/Q = (120/100)*1/R
So P will take 25x/42 and Q will take 5x/6 days respectively
5x/6 – 25x/42 = 10, we get x = 42
10/25 + 15/35 + t/42 = 1
1/P = (140/100)*1/Q and 1/Q = (120/100)*1/R
So P will take 25x/42 and Q will take 5x/6 days respectively
5x/6 – 25x/42 = 10, we get x = 42
10/25 + 15/35 + t/42 = 1
Most Upvoted Answer
Three professors P, Q, R are evaluating answer script of a subject. P ...
Let R takes x days to complete the work, then
1/P = (140/100)*1/Q and 1/Q = (120/100)*1/R
So P will take 25x/42 and Q will take 5x/6 days respectively
5x/6 – 25x/42 = 10, we get x = 42
10/25 + 15/35 + t/42 = 1
1/P = (140/100)*1/Q and 1/Q = (120/100)*1/R
So P will take 25x/42 and Q will take 5x/6 days respectively
5x/6 – 25x/42 = 10, we get x = 42
10/25 + 15/35 + t/42 = 1
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Community Answer
Three professors P, Q, R are evaluating answer script of a subject. P ...
**Given Information:**
- P is 40 more efficient than Q.
- Q is 20 more efficient than R.
- P takes 10 days less than Q to complete the evaluation work.
- P starts the evaluation work and works for 10 days, then Q takes over and evaluates for the next 15 days.
**To Find:**
In how many days R can complete the remaining evaluation work.
**Assumptions:**
Let's assume that the total evaluation work can be represented by the units of work.
**Solution:**
1. Let's assume that R takes x days to complete the remaining evaluation work.
2. From the given information, we can determine the efficiency ratios of P, Q, and R.
- If Q's efficiency is 1 unit of work per day, then P's efficiency is 1 + 40/100 = 1.4 units of work per day.
- Similarly, if R's efficiency is 1 unit of work per day, then Q's efficiency is 1 + 20/100 = 1.2 units of work per day.
3. Based on the efficiency ratios, we can calculate the work done by P in the first 10 days and Q in the next 15 days.
- Work done by P = 1.4 * 10 = 14 units of work
- Work done by Q = 1.2 * 15 = 18 units of work
4. The total work done by P and Q in the first 25 days is 14 + 18 = 32 units of work.
5. The remaining work can be calculated by subtracting the work done by P and Q from the total work.
- Remaining work = Total work - Work done by P and Q
- Remaining work = 100 - 32 = 68 units of work
6. Now, we can calculate the time taken by R to complete the remaining work.
- Time taken by R = Remaining work / R's efficiency
- Time taken by R = 68 / 1 = 68 days
7. But we need to find the time taken by R in terms of days and hours, so we convert the remaining work to hours.
- Remaining work in hours = Remaining work * 24 = 68 * 24 = 1632 hours
8. We know that there are 24 hours in a day, so we divide the remaining work in hours by 24 to get the time taken by R in terms of days and hours.
- Time taken by R = Remaining work in hours / 24 = 1632 / 24 = 68 days and 0.2 days
9. To convert the remaining 0.2 days into hours, we multiply it by 24.
- Remaining 0.2 days in hours = 0.2 * 24 = 4.8 hours
10. Therefore, the time taken by R to complete the remaining evaluation work is 68 days and 4.8 hours.
11. Since we need to find the time taken by R in terms of days, we round off the decimal part to the nearest whole number.
- Rounded off decimal part = 0.8
- If the decimal part is less than 0.5, we round down to the nearest whole number. If the decimal part is equal to or greater
- P is 40 more efficient than Q.
- Q is 20 more efficient than R.
- P takes 10 days less than Q to complete the evaluation work.
- P starts the evaluation work and works for 10 days, then Q takes over and evaluates for the next 15 days.
**To Find:**
In how many days R can complete the remaining evaluation work.
**Assumptions:**
Let's assume that the total evaluation work can be represented by the units of work.
**Solution:**
1. Let's assume that R takes x days to complete the remaining evaluation work.
2. From the given information, we can determine the efficiency ratios of P, Q, and R.
- If Q's efficiency is 1 unit of work per day, then P's efficiency is 1 + 40/100 = 1.4 units of work per day.
- Similarly, if R's efficiency is 1 unit of work per day, then Q's efficiency is 1 + 20/100 = 1.2 units of work per day.
3. Based on the efficiency ratios, we can calculate the work done by P in the first 10 days and Q in the next 15 days.
- Work done by P = 1.4 * 10 = 14 units of work
- Work done by Q = 1.2 * 15 = 18 units of work
4. The total work done by P and Q in the first 25 days is 14 + 18 = 32 units of work.
5. The remaining work can be calculated by subtracting the work done by P and Q from the total work.
- Remaining work = Total work - Work done by P and Q
- Remaining work = 100 - 32 = 68 units of work
6. Now, we can calculate the time taken by R to complete the remaining work.
- Time taken by R = Remaining work / R's efficiency
- Time taken by R = 68 / 1 = 68 days
7. But we need to find the time taken by R in terms of days and hours, so we convert the remaining work to hours.
- Remaining work in hours = Remaining work * 24 = 68 * 24 = 1632 hours
8. We know that there are 24 hours in a day, so we divide the remaining work in hours by 24 to get the time taken by R in terms of days and hours.
- Time taken by R = Remaining work in hours / 24 = 1632 / 24 = 68 days and 0.2 days
9. To convert the remaining 0.2 days into hours, we multiply it by 24.
- Remaining 0.2 days in hours = 0.2 * 24 = 4.8 hours
10. Therefore, the time taken by R to complete the remaining evaluation work is 68 days and 4.8 hours.
11. Since we need to find the time taken by R in terms of days, we round off the decimal part to the nearest whole number.
- Rounded off decimal part = 0.8
- If the decimal part is less than 0.5, we round down to the nearest whole number. If the decimal part is equal to or greater
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Three professors P, Q, R are evaluating answer script of a subject. P is 40 more efficient than Q, who is 20 more efficient than R. P takes 10 days less than Q to complete the evaluation work. P starts the evaluation work and works for 10 days and then Q takes over. Q evaluates for next 15 days and then stops. In how many days, R can complete the remaining evaluation work?a)6.2 daysb)7.2 daysc)8.2 daysd)9.2 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? for RRB Group D / RPF Constable 2025 is part of RRB Group D / RPF Constable preparation. The Question and answers have been prepared according to the RRB Group D / RPF Constable exam syllabus. Information about Three professors P, Q, R are evaluating answer script of a subject. P is 40 more efficient than Q, who is 20 more efficient than R. P takes 10 days less than Q to complete the evaluation work. P starts the evaluation work and works for 10 days and then Q takes over. Q evaluates for next 15 days and then stops. In how many days, R can complete the remaining evaluation work?a)6.2 daysb)7.2 daysc)8.2 daysd)9.2 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for RRB Group D / RPF Constable 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three professors P, Q, R are evaluating answer script of a subject. P is 40 more efficient than Q, who is 20 more efficient than R. P takes 10 days less than Q to complete the evaluation work. P starts the evaluation work and works for 10 days and then Q takes over. Q evaluates for next 15 days and then stops. In how many days, R can complete the remaining evaluation work?a)6.2 daysb)7.2 daysc)8.2 daysd)9.2 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Three professors P, Q, R are evaluating answer script of a subject. P is 40 more efficient than Q, who is 20 more efficient than R. P takes 10 days less than Q to complete the evaluation work. P starts the evaluation work and works for 10 days and then Q takes over. Q evaluates for next 15 days and then stops. In how many days, R can complete the remaining evaluation work?a)6.2 daysb)7.2 daysc)8.2 daysd)9.2 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? for RRB Group D / RPF Constable 2025 is part of RRB Group D / RPF Constable preparation. The Question and answers have been prepared according to the RRB Group D / RPF Constable exam syllabus. Information about Three professors P, Q, R are evaluating answer script of a subject. P is 40 more efficient than Q, who is 20 more efficient than R. P takes 10 days less than Q to complete the evaluation work. P starts the evaluation work and works for 10 days and then Q takes over. Q evaluates for next 15 days and then stops. In how many days, R can complete the remaining evaluation work?a)6.2 daysb)7.2 daysc)8.2 daysd)9.2 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for RRB Group D / RPF Constable 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three professors P, Q, R are evaluating answer script of a subject. P is 40 more efficient than Q, who is 20 more efficient than R. P takes 10 days less than Q to complete the evaluation work. P starts the evaluation work and works for 10 days and then Q takes over. Q evaluates for next 15 days and then stops. In how many days, R can complete the remaining evaluation work?a)6.2 daysb)7.2 daysc)8.2 daysd)9.2 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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Three professors P, Q, R are evaluating answer script of a subject. P is 40 more efficient than Q, who is 20 more efficient than R. P takes 10 days less than Q to complete the evaluation work. P starts the evaluation work and works for 10 days and then Q takes over. Q evaluates for next 15 days and then stops. In how many days, R can complete the remaining evaluation work?a)6.2 daysb)7.2 daysc)8.2 daysd)9.2 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Three professors P, Q, R are evaluating answer script of a subject. P is 40 more efficient than Q, who is 20 more efficient than R. P takes 10 days less than Q to complete the evaluation work. P starts the evaluation work and works for 10 days and then Q takes over. Q evaluates for next 15 days and then stops. In how many days, R can complete the remaining evaluation work?a)6.2 daysb)7.2 daysc)8.2 daysd)9.2 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Three professors P, Q, R are evaluating answer script of a subject. P is 40 more efficient than Q, who is 20 more efficient than R. P takes 10 days less than Q to complete the evaluation work. P starts the evaluation work and works for 10 days and then Q takes over. Q evaluates for next 15 days and then stops. In how many days, R can complete the remaining evaluation work?a)6.2 daysb)7.2 daysc)8.2 daysd)9.2 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Three professors P, Q, R are evaluating answer script of a subject. P is 40 more efficient than Q, who is 20 more efficient than R. P takes 10 days less than Q to complete the evaluation work. P starts the evaluation work and works for 10 days and then Q takes over. Q evaluates for next 15 days and then stops. In how many days, R can complete the remaining evaluation work?a)6.2 daysb)7.2 daysc)8.2 daysd)9.2 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice RRB Group D / RPF Constable tests.
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