BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

beer at 12 noon

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760
by sanju09 » Mon Mar 08, 2010 1:46 am
A barrel contains 36 gallons of beer at 12 noon. One tap draws a pint in every 4 minutes and another draws a quart every 6 minutes. How much beer will be left at 12 minutes past 8 p.m. the same day? (4 quarts = 8 pints = 1 gallon)
(A) 1 quart
(B) 1 pint
(C) 2 quarts
(D) 2 pints
(E) 1 gallon
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 487
Joined: Fri Mar 27, 2009 5:49 am
Thanked: 36 times

by dtweah » Mon Mar 08, 2010 6:47 am
Calculate rate of drainage.
Tap 1 1P/ 4min or 1P/4min x 1g/8p = 1g/32min

Tap 2 1q/6min or 1q/6min x 1g/4q = 1g/24min

So we know every 32 mins, 2 gals leave the barrel. We just have to figure out how many 32 mins are there in 492 mins . (the number of mins from 12noon to 8:12pm)

For example
(24 mins after Noon)
12:24 1 gallon is drained
( 8 mins later)
12: 32 1 gallon is drained ( 32 mins elapsed)
( 16 mins later)
12: 48 1 g
( 16 mins later)
1:04 1 g ( Another 32 min elapsed)

( 8 mins later)
1: 12 1g
(24 mins later)
1: 36 1g ( The thrid 32 mins have elapsed) And the pattern is repeated.

It would be painful to continue this so we multiply the rate 2g/ 32min by 492 mins to see how many gals have drained by 8: 12PM.
2g/32 x 492 mins = 30 12/16 g or 30 3/4 g

36 - 30 3/4 = 6 3/4 g which is not among the answer choices.

You could also set up from the pattern that
6/96 = X/492 ( if 6 gallons are drained in 96 mins, how many will go in 492 mins)

Which gives the same 30 3/4
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 102
Joined: Sat Feb 20, 2010 5:38 am
Location: IIM Ahmedabad
Thanked: 10 times

by firdaus117 » Mon Mar 08, 2010 7:05 am
36 gallons of beer=36*8 pints=288 pints
Total time of drainage=8 h 12 min=492 minutes
First tap will drain 492/4=123 pints in 492 minutes.
Second tap will drain 492/6=82 quarts=164 pints in 492 minutes.
Total withdrawal=123+164=287 pints
Remaining beer=288-287=1 pint
Option B
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1