NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 10:48 It is currently 25 Apr 2024, 10:48
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT 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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If Ken can mine 4 buckets of gold in 5 hours and Sam can mine 4 bucket

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92914
Own Kudos [?]: 618974 [0]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
If Ken can mine 4 buckets of gold in 5 hours and Sam can mine 4 bucket [#permalink] New post   18 Apr 2017, 03:32
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

76% (01:48) correct 24% (02:14) wrong based on 137 sessions
Hide Show timer Statistics
If Ken can mine 4 buckets of gold in 5 hours and Sam can mine 4 buckets of gold in 7 hours, how many buckets of gold can they mine if they work together for 1.75 hours?

A. 0.4
B. 1.16
C. 2.4
D. 4.8
E. 7
ShowHide Answer
Official Answer
C
avatar
B
jaffacake
Intern
Intern
Joined: 07 Dec 2016
Posts: 4
Own Kudos [?]: 9 [0]
Given Kudos: 12
Location: Germany
Concentration: Economics, Entrepreneurship
GMAT 1: 570 Q37 V30
GPA: 2.77
WE:Operations (Transportation)
Send PM
Re: If Ken can mine 4 buckets of gold in 5 hours and Sam can mine 4 bucket [#permalink] New post   18 Apr 2017, 04:13
Ken and Sam work at an hourly rate of 4/5 and 4/7 respectively.

together they work at a rate of 28/35+20/35 = 48/35

When working together for 1,75h (7/4 h) they can fill 84/35 buckets (remember to Keep the Terms low when multiplying the fractions) as we can see C being 2,4 is the only number close to our calculationk, no need to calculate further.
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14823
Own Kudos [?]: 64916 [4]
Given Kudos: 426
Location: Pune, India
Send PM
Re: If Ken can mine 4 buckets of gold in 5 hours and Sam can mine 4 bucket [#permalink] New post   18 Apr 2017, 04:23
2
Kudos
2
Bookmarks
Expert Reply
Bunuel wrote:
If Ken can mine 4 buckets of gold in 5 hours and Sam can mine 4 buckets of gold in 7 hours, how many buckets of gold can they mine if they work together for 1.75 hours?

A. 0.4
B. 1.16
C. 2.4
D. 4.8
E. 7


I would use some approximation here:

If Ken can mine 4 buckets of gold in 5 hours - that's less than 1 bucket an hour. It is 0.8 bucket

and Sam can mine 4 buckets of gold in 7 hours, - that's a bit more than half a bucket an hour so about 0.6 bucket an hour

This means, they mine about 1.4 buckets every hour.

how many buckets of gold can they mine if they work together for 1.75 hours - they work for a bit less than 2 hrs so work done would be a bit less than 2.8 buckets. Answer must be 2.4.

Answer (C)
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6273 [0]
Given Kudos: 1646
Send PM
Re: If Ken can mine 4 buckets of gold in 5 hours and Sam can mine 4 bucket [#permalink] New post   24 Apr 2017, 16:56
Expert Reply
Bunuel wrote:
If Ken can mine 4 buckets of gold in 5 hours and Sam can mine 4 buckets of gold in 7 hours, how many buckets of gold can they mine if they work together for 1.75 hours?

A. 0.4
B. 1.16
C. 2.4
D. 4.8
E. 7


We are given that Ken can mine 4 buckets of gold in 5 hours and Sam can mine 4 buckets of gold in 7 hours. Thus, the rate of Ken is 4/5 and the rate of Sam is 4/7.

If they work together for 1.75 hours, they can mine:

(4/5)(1.75) + (4/7)(1.75) = (4/5)(7/4) + (4/7)(7/4) = 7/5 + 1 = 2.4 buckets

Answer: C
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4689 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: If Ken can mine 4 buckets of gold in 5 hours and Sam can mine 4 bucket [#permalink] New post   04 Mar 2022, 10:16
Bunuel wrote:
If Ken can mine 4 buckets of gold in 5 hours and Sam can mine 4 buckets of gold in 7 hours, how many buckets of gold can they mine if they work together for 1.75 hours?

A. 0.4
B. 1.16
C. 2.4
D. 4.8
E. 7

Efficiency of Ken is \(\frac{4}{5}\) buckets/Hr
Efficiency of Sam is \(\frac{4}{7}\) buckets/Hr

Combined efficiency of Sam & Ken is \(\frac{4}{5}+\frac{4}{7}\)

Work done in 1.75 Hours is \(\frac{48}{35}\)

So, Work done by both in 1.75 Hours is 1.75*48/35 = 2.4 , Answer must be (C)
GMAT Club Bot
gmatclubot
Re: If Ken can mine 4 buckets of gold in 5 hours and Sam can mine 4 bucket [#permalink]
04 Mar 2022, 10:16
Moderators:
Bunuel
Math Expert
92914 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions