work

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

Redeem

This topic has expert replies

Post new topic Post Reply

Previous Topic Next Topic

vaibhav101: Master | Next Rank: 500 Posts; Posts: 138; Joined: Mon May 01, 2017 11:56 pm; Thanked: 4 times

work

by vaibhav101 » Sun Jun 03, 2018 9:38 am

Timer

00:00

Your Answer

Global Stats

Bucket P has thrice the capacity as bucket Q. It takes 60 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q having each turn together, to fill the empty drum?

A 30
B 40
C 45
D 60
E 90

Quote

Source: Beat The GMAT — Problem Solving | Sun Jun 03, 2018 9:38 am

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pm; Location: New York, NY; Thanked: 13060 times; Followed by:1906 members; GMAT Score:790

by GMATGuruNY » Sun Jun 03, 2018 11:05 am

vaibhav101 wrote:Bucket P has thrice the capacity as bucket Q. It takes 60 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q having each turn together, to fill the empty drum?

A 30
B 40
C 45
D 60
E 90

Let Q = 1 liter per turn.
Since P has 3 times the capacity of Q, P = 3 liters per turn.
Since P takes 60 3-liter turns to fill the drum, the drum = 60*3 = 180 liters.
Since P = 3 liters per turn and Q = 1 liter per turn, the number of turns for P and Q together to fill the 180-liter drum = 180/(3+1) = 45.

The correct answer is C.

Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3

Quote

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8088; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Tue Jun 05, 2018 9:40 am

vaibhav101 wrote:Bucket P has thrice the capacity as bucket Q. It takes 60 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q having each turn together, to fill the empty drum?

A 30
B 40
C 45
D 60
E 90

We see the rate of bucket P is 1/60. Since bucket P has thrice the capacity as bucket Q, it will take 180 turns for bucket Q to fill the empty drum. Thus the rate of bucket Q is 1/180. Therefore, their combined rate is 1/60 + 1/180 = 3/180 + 1/180 = 4/180 = 1/45. Thus it will take them 1/(1/45) = 45 turns if they work together to fill the empty drum.

rate of 3 + 1 = 4 gallons per turn; thus, it will take them 180/4 = 45 turns to complete the fill.

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]