GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Bill takes 20 days to empty a 50-liter barrel of beer and, together wi
[#permalink]
08 Apr 2022, 06:22
08 Apr 2022, 06:22
Expert Reply
1
Bookmarks
00:00
Question Stats:
100% (02:14) correct
0% (00:00) wrong based on 6 sessions
Hide Show timer Statistics
Bill takes 20 days to empty a 50-liter barrel of beer and, together with Henry, he can empty it in 14 days, how many days will it take Henry to finish a barrel of beer by himself?
(A) 17
(B) 33
(C) 46
(D) 47
(E) 58
(A) 17
(B) 33
(C) 46
(D) 47
(E) 58
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Bill takes 20 days to empty a 50-liter barrel of beer and, together wi
[#permalink]
08 Apr 2022, 06:33
08 Apr 2022, 06:33
1
Carcass wrote:
Bill takes 20 days to empty a 50-liter barrel of beer and, together with Henry, he can empty it in 14 days, how many days will it take Henry to finish a barrel of beer by himself?
(A) 17
(B) 33
(C) 46
(D) 47
(E) 58
(A) 17
(B) 33
(C) 46
(D) 47
(E) 58
Bill takes 20 days to empty a 50-liter barrel of beer
Bill's rate = output/time = (50 liters)/(20 days) = 5/2 liters per day
Together with Henry, they can empty it in 14 days
Combined rate = output/time = (50 liters)/(14 days) = 25/7 liters per day
Bill's rate + (Henry's rate) = Combined rate
So we can write: 5/2 + (Henry's rate) = 25/7
In other words: Henry's rate = 25/7 - 5/2 = 50/14 - 35/14 = 15/14 liters per day
How many days will it take Henry to finish a barrel of beer by himself?
Time = output/rate = 50/(15/14) = (50)(14/15) = 46 2/3 days.
So, in 47 days, Henry would finish a barrel of beer
Answer: D
gmatclubot
Re: Bill takes 20 days to empty a 50-liter barrel of beer and, together wi [#permalink]
08 Apr 2022, 06:33
Moderators:
