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21 Feb 2024, 02:30
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E
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Difficulty:
55%
(hard)
Question Stats:
70% (03:03) correct
30%
(03:11)
wrong
based on 79
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Not Attempted Yet
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. If the speed of Mark and John remains the same, by what percentage should Peter increase his speed so that the three employees can together answer 1/6 more emails than they currently do in an hour?
A. 25%
B. 30%
C. 50%
D. 55%
E. 60%
A. 25%
B. 30%
C. 50%
D. 55%
E. 60%
21 Feb 2024, 02:52
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Peter= 25 emails per hour.
Mark= 1.4*25=35 emails per hour.
John= 25 emails per 50 minuti -> 30 emails per hour.
So they answer 90 emails per hour.
If we increase by 1/6, they answer 105 emails per hour, which means 15 emails more than what they answer now.
So peter has to answer 15 more mails in one hour. This means 25+15 emails=40.
So the percentage increase is (New total-Old Total / Old total) (40-25)/25 *100= 60% more emails per hour.
So answer E.
Posted from my mobile device
Mark= 1.4*25=35 emails per hour.
John= 25 emails per 50 minuti -> 30 emails per hour.
So they answer 90 emails per hour.
If we increase by 1/6, they answer 105 emails per hour, which means 15 emails more than what they answer now.
So peter has to answer 15 more mails in one hour. This means 25+15 emails=40.
So the percentage increase is (New total-Old Total / Old total) (40-25)/25 *100= 60% more emails per hour.
So answer E.
Posted from my mobile device
Aryaa03
Joined: 12 Jun 2023
Last visit: 14 Jul 2025
Posts: 211
Given Kudos: 159
Location: India
Schools: ISB '27 (A) IIM Calcutta '26 (A) IIMA '26 (D)
GMAT Focus 1: 645 Q86 V81 DI78 
21 Feb 2024, 03:01
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Bunuel
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. If the speed of Mark and John remains the same, by what percentage should Peter increase his speed so that the three employees can together answer 1/6 more emails than they currently do in an hour?
A. 25%
B. 30%
C. 50%
D. 55%
E. 60%
A. 25%
B. 30%
C. 50%
D. 55%
E. 60%
IMO-Option-E
No. of Emails - Peter can answer in an hour = 25
No. of Emails - Mark can answer in an hour = 25*1.4 = 35
No. of Emails - John can answer in an hour = 25*6/5 = 30 (He takes (1-1/6) hour for 25 emails)
Therefore, total no. of email per hour = 25+35+30 = 90
If the number of emails per hour is to be increased by 1/6 , total no. of emails to be sent = 90*7/6 = 105
If speed of mark and john remains same, their work in 1 hour will remain same as before i.e. 35 + 30 =65
Total emails to be sent by peter = 105 - 65 = 40
So perecntage increase in number of email by Peter = \(\frac{(40-25)}{25}\)*100= 60%
