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Peter, Mark and John work in the marketing department of an e-learning firm. Peter can answer 25 emails in an hour, Mark can answer 40 percent more emails in an hour than Peter and John takes 1/6 lesser time to answer the same number of emails as Peter. By what percentage should Peter increase his speed so that the three employees can together answer 1/6 more emails than they currently do?
- a)25%
- b)30%
- c)50%
- d)60%
- e)75%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Peter, Mark and John work in the marketing department of an e-learning...
Given:
- Number of emails answered by Peter in 1 hour = 25
- Number of emails answered by Mark in 1 hour = 25 + 40% of 25
- Time taken by John to answer 25 emails =
To Find: Percentage by which Peter should increase his speed so that all 3 can answer 
more emails than they currently do?
more emails than they currently do?Approach:
2. So, to find the percentage by which Peter should increase his speed, we should first find the extra number of emails that he needs to answer.
3. For finding the extra number of emails that he needs to answer, we need to find the total number of emails currently answered by Peter, John and Mark together in 1 hour and number of increased emails they need to answer together.
3. For finding the extra number of emails that he needs to answer, we need to find the total number of emails currently answered by Peter, John and Mark together in 1 hour and number of increased emails they need to answer together.
- We are given the number of emails answered by Peter and Mark in 1 hour.
- As we know that John can answer 25 email in 5/6 hours, we can find the number of emails answered by John in 1 hour
Working out:
- Number of emails answered by Mark in 1 hour = 25 + 40% of 25 = 25 + 10 = 35
- Number of emails answered by John in 1 hour =
- So, the number of emails currently being answered by Peter, mark and John combined = 25 + 35 + 30 = 90
- Number of emails they should answer in case of 1/6 increase = 90 +
emails - As there are 105 – 90 = 15 more emails that need to answered, these should be answered by Peter.
- So, Peter should answer 15 more emails per hour
- Hence, Peter’s speed should increase by
- Hence, Peter’s speed should increase by
So, Peter should increase his speed by 60%
Answer : D
Most Upvoted Answer
Peter, Mark and John work in the marketing department of an e-learning...
To solve this problem, let's start by determining how many emails each person can answer in an hour.
Given:
Peter can answer 25 emails in an hour.
Mark can answer 40 percent more emails in an hour than Peter.
So Mark can answer 25 + (40/100)*25 = 25 + 10 = 35 emails in an hour.
John takes 1/6 lesser time to answer the same number of emails as Peter.
This means John can answer the same number of emails as Peter in 1 - (1/6) = 5/6 of the time.
So John can answer 25 emails in (5/6)*1 hour = 25*(5/6) = 20.83 ≈ 21 emails in an hour.
Now, let's find out how many emails the three employees can answer together in an hour.
Total emails answered by Peter, Mark, and John in an hour = 25 + 35 + 21 = 81 emails.
We need to determine the percentage by which Peter should increase his speed so that the three employees can together answer 1/6 more emails than they currently do.
1/6 more emails than they currently do = (1/6)*81 = 13.5 ≈ 14 emails.
Now, let's find out how many emails each person needs to answer to achieve this.
Peter needs to answer 25 + 14 = 39 emails.
Mark needs to answer 35 + 14 = 49 emails.
John needs to answer 21 + 14 = 35 emails.
To find the percentage increase in Peter's speed, we can calculate the difference between the number of emails Peter currently answers and the number he needs to answer.
Percentage increase in Peter's speed = ((39 - 25)/25)*100 = (14/25)*100 = 56%.
Therefore, Peter should increase his speed by 56% to ensure that the three employees can together answer 1/6 more emails than they currently do.
Hence, the correct answer is option D) 60%.
Given:
Peter can answer 25 emails in an hour.
Mark can answer 40 percent more emails in an hour than Peter.
So Mark can answer 25 + (40/100)*25 = 25 + 10 = 35 emails in an hour.
John takes 1/6 lesser time to answer the same number of emails as Peter.
This means John can answer the same number of emails as Peter in 1 - (1/6) = 5/6 of the time.
So John can answer 25 emails in (5/6)*1 hour = 25*(5/6) = 20.83 ≈ 21 emails in an hour.
Now, let's find out how many emails the three employees can answer together in an hour.
Total emails answered by Peter, Mark, and John in an hour = 25 + 35 + 21 = 81 emails.
We need to determine the percentage by which Peter should increase his speed so that the three employees can together answer 1/6 more emails than they currently do.
1/6 more emails than they currently do = (1/6)*81 = 13.5 ≈ 14 emails.
Now, let's find out how many emails each person needs to answer to achieve this.
Peter needs to answer 25 + 14 = 39 emails.
Mark needs to answer 35 + 14 = 49 emails.
John needs to answer 21 + 14 = 35 emails.
To find the percentage increase in Peter's speed, we can calculate the difference between the number of emails Peter currently answers and the number he needs to answer.
Percentage increase in Peter's speed = ((39 - 25)/25)*100 = (14/25)*100 = 56%.
Therefore, Peter should increase his speed by 56% to ensure that the three employees can together answer 1/6 more emails than they currently do.
Hence, the correct answer is option D) 60%.
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Question Description
Peter, Mark and John work in the marketing department of an e-learning firm. Peter can answer 25 emails in an hour, Mark can answer 40 percent more emails in an hour than Peter and John takes 1/6 lesser time to answer the same number of emails as Peter. By what percentage should Peter increase his speed so that the three employees can together answer 1/6more emails than they currently do?a)25%b)30%c)50%d)60%e)75%Correct answer is option 'D'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Peter, Mark and John work in the marketing department of an e-learning firm. Peter can answer 25 emails in an hour, Mark can answer 40 percent more emails in an hour than Peter and John takes 1/6 lesser time to answer the same number of emails as Peter. By what percentage should Peter increase his speed so that the three employees can together answer 1/6more emails than they currently do?a)25%b)30%c)50%d)60%e)75%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Peter, Mark and John work in the marketing department of an e-learning firm. Peter can answer 25 emails in an hour, Mark can answer 40 percent more emails in an hour than Peter and John takes 1/6 lesser time to answer the same number of emails as Peter. By what percentage should Peter increase his speed so that the three employees can together answer 1/6more emails than they currently do?a)25%b)30%c)50%d)60%e)75%Correct answer is option 'D'. Can you explain this answer?.
Peter, Mark and John work in the marketing department of an e-learning firm. Peter can answer 25 emails in an hour, Mark can answer 40 percent more emails in an hour than Peter and John takes 1/6 lesser time to answer the same number of emails as Peter. By what percentage should Peter increase his speed so that the three employees can together answer 1/6more emails than they currently do?a)25%b)30%c)50%d)60%e)75%Correct answer is option 'D'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Peter, Mark and John work in the marketing department of an e-learning firm. Peter can answer 25 emails in an hour, Mark can answer 40 percent more emails in an hour than Peter and John takes 1/6 lesser time to answer the same number of emails as Peter. By what percentage should Peter increase his speed so that the three employees can together answer 1/6more emails than they currently do?a)25%b)30%c)50%d)60%e)75%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Peter, Mark and John work in the marketing department of an e-learning firm. Peter can answer 25 emails in an hour, Mark can answer 40 percent more emails in an hour than Peter and John takes 1/6 lesser time to answer the same number of emails as Peter. By what percentage should Peter increase his speed so that the three employees can together answer 1/6more emails than they currently do?a)25%b)30%c)50%d)60%e)75%Correct answer is option 'D'. Can you explain this answer?.
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ample number of questions to practice Peter, Mark and John work in the marketing department of an e-learning firm. Peter can answer 25 emails in an hour, Mark can answer 40 percent more emails in an hour than Peter and John takes 1/6 lesser time to answer the same number of emails as Peter. By what percentage should Peter increase his speed so that the three employees can together answer 1/6more emails than they currently do?a)25%b)30%c)50%d)60%e)75%Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice UPSC tests.
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