Last visit was: 24 Jul 2024, 05:01 It is currently 24 Jul 2024, 05:01
Toolkit
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

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.

# If 6 drums of oil will heat 5 identical buildings for 3 days, how many

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94605
Own Kudos [?]: 643489 [15]
Given Kudos: 86734
VP
Joined: 14 Jul 2020
Posts: 1115
Own Kudos [?]: 1300 [1]
Given Kudos: 351
Location: India
Director
Joined: 14 Jul 2010
Status:No dream is too large, no dreamer is too small
Posts: 959
Own Kudos [?]: 5019 [2]
Given Kudos: 690
Concentration: Accounting
Intern
Joined: 29 Jan 2017
Posts: 49
Own Kudos [?]: 9 [0]
Given Kudos: 27
Re: If 6 drums of oil will heat 5 identical buildings for 3 days, how many [#permalink]
TarunKumar1234 wrote:
Given, 6 Drums---5 Buildings---3 days
1 Drum----1 Building--- (3/6)*5 days
10 drums--2 Buildings---(3/6)*5*(10/2) days = 25/2 = 12.5

So, I think C.

Hi Tarun,
I am not getting your solution. could you please explain in detail ?
Intern
Joined: 29 Jan 2017
Posts: 49
Own Kudos [?]: 9 [1]
Given Kudos: 27
Re: If 6 drums of oil will heat 5 identical buildings for 3 days, how many [#permalink]
1
Bookmarks
MHIKER wrote:
Bunuel wrote:
If 6 drums of oil will heat 5 identical buildings for 3 days, how many days will 10 drums of oil last when heating 2 of the same buildings?

(A) 10
(B) 12
(C) 12.5
(D) 14.5
(E) 18

Applying work rate formula: W=RT

$$\frac{5*3}{6}=\frac{2*x}{10}=12.5$$ [x are the days]

The answer is $$C$$

Hi Mhiker, why are you dividing by 6 and 10 please explain ?
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3710
Own Kudos [?]: 17359 [1]
Given Kudos: 165
If 6 drums of oil will heat 5 identical buildings for 3 days, how many [#permalink]
1
Kudos
Given

• 6 drums of oil will heat 5 identical buildings for 3 days

To Find

• The number of days that 10 drums of oil last when heating 2 of the same buildings.

Approach and Working Out

• 6 drums of oil will heat 5 buildings for 3 days.
• We can 6 drums will heat 5 × 3 building once.
o So, 6 drums will heat 15 buildings.
o 1 drum will heat $$\frac{15}{6}$$ buildings
o 10 drums will heat $$\frac{{15 × 10}}{6}$$buildings once.
o So, 2 building for $$\frac{{15 × 10 }}{ {6 × 2}}$$days
 12.5 days.

Intern
Joined: 29 Jan 2017
Posts: 49
Own Kudos [?]: 9 [0]
Given Kudos: 27
Re: If 6 drums of oil will heat 5 identical buildings for 3 days, how many [#permalink]
EgmatQuantExpert wrote:
Given

• 6 drums of oil will heat 5 identical buildings for 3 days

To Find

• The number of days that 10 drums of oil last when heating 2 of the same buildings.

Approach and Working Out

• 6 drums of oil will heat 5 buildings for 3 days.
• We can 6 drums will heat 5 × 3 building once.
o So, 6 drums will heat 15 buildings.
o 1 drum will heat $$\frac{15}{6}$$ buildings
o 10 drums will heat $$\frac{{15 × 10}}{6}$$buildings once.
o So, 2 building for $$\frac{{15 × 10 }}{ {6 × 2}}$$days
 12.5 days.

I am not able to get why are we dividing by 2 rest explaination i understood
Director
Joined: 14 Jul 2010
Status:No dream is too large, no dreamer is too small
Posts: 959
Own Kudos [?]: 5019 [3]
Given Kudos: 690
Concentration: Accounting
If 6 drums of oil will heat 5 identical buildings for 3 days, how many [#permalink]
2
Kudos
1
Bookmarks
Top Contributor
abhinavsodha800 wrote:
MHIKER wrote:
Bunuel wrote:
If 6 drums of oil will heat 5 identical buildings for 3 days, how many days will 10 drums of oil last when heating 2 of the same buildings?

(A) 10
(B) 12
(C) 12.5
(D) 14.5
(E) 18

Applying work rate formula: W=RT

$$\frac{5*3}{6}=\frac{2*x}{10}=12.5$$ [x are the days]

The answer is $$C$$

Hi Mhiker, why are you dividing by 6 and 10 please explain ?

Hello, abhinavsodha800

Actually, what I did, I calculate the rate of the current event and then equate it with the expected event. 5

6 drums heat 5 building in 3 days
6 drums will heat 1 building for more days $$=5*3$$
1 drum will heat 1 building for less days $$=\frac{5*3}{6}$$ [This is the rate we need]
Now,
$$\frac{5*3}{6}=\frac{2*x}{10}$$[We need to determine the days, which will be heated by 10 drums for 2 buildings, so we are dividing the right-hand side by 10. abhinavsodha800]

$$x=12.5$$

Feel free to question.
Non-Human User
Joined: 09 Sep 2013
Posts: 34061
Own Kudos [?]: 853 [0]
Given Kudos: 0
Re: If 6 drums of oil will heat 5 identical buildings for 3 days, how many [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: If 6 drums of oil will heat 5 identical buildings for 3 days, how many [#permalink]
Moderator:
Math Expert
94605 posts