GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Feb 2019, 18:46

### 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

## Events & Promotions

###### Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• ### Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT
• ### FREE Quant Workshop by e-GMAT!

February 24, 2019

February 24, 2019

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

# A municipal corporation is to paint a solid white stripe in the middle

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53066
A municipal corporation is to paint a solid white stripe in the middle  [#permalink]

### Show Tags

16 Oct 2018, 00:22
00:00

Difficulty:

35% (medium)

Question Stats:

71% (02:44) correct 29% (02:19) wrong based on 28 sessions

### HideShow timer Statistics

A municipal corporation is to paint a solid white stripe in the middle of a national highway. If 1 gallon of paint covers an area of a square feet of the road, how many barrels of paint will be needed to paint a stripe b inches wide on a stretch of the highway that is c miles long? (1 mile = 5,280 feet, 1 foot = 12 inches, and 1 barrel = 31.5 gallons)

(A) $$\frac{5280bc}{31.5 × 12a}$$

(B) $$\frac{5280ab}{31.5 × 12c}$$

(C) $$\frac{5280abc}{31.5 × 12}$$

(D) $$\frac{5280 × 12c}{31.5 × ab}$$

(E) $$\frac{5280 × 12a}{31.5 × bc}$$

_________________
RC Moderator
Joined: 24 Aug 2016
Posts: 684
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
GMAT 2: 540 Q49 V16
Re: A municipal corporation is to paint a solid white stripe in the middle  [#permalink]

### Show Tags

16 Oct 2018, 20:00
1
Bunuel wrote:
A municipal corporation is to paint a solid white stripe in the middle of a national highway. If 1 gallon of paint covers an area of a square feet of the road, how many barrels of paint will be needed to paint a stripe b inches wide on a stretch of the highway that is c miles long? (1 mile = 5,280 feet, 1 foot = 12 inches, and 1 barrel = 31.5 gallons)

(A) $$\frac{5280bc}{31.5 × 12a}$$

(B) $$\frac{5280ab}{31.5 × 12c}$$

(C) $$\frac{5280abc}{31.5 × 12}$$

(D) $$\frac{5280 × 12c}{31.5 × ab}$$

(E) $$\frac{5280 × 12a}{31.5 × bc}$$

Total area to be painted = $$\frac{b}{12} *(c *5280)$$ sq ft
1 sq fit painted by = $$\frac{a}{31.5}$$ barrel
Hence total barrel(s) required : $$\frac{b}{12} *(c *5280)*\frac{a}{31.5}$$ = $$\frac{5280abc}{31.5 × 12}$$ ...... Ans C
_________________

Please let me know if I am going in wrong direction.
Thanks in appreciation.

VP
Joined: 09 Mar 2018
Posts: 1002
Location: India
Re: A municipal corporation is to paint a solid white stripe in the middle  [#permalink]

### Show Tags

07 Feb 2019, 20:58
Bunuel wrote:
A municipal corporation is to paint a solid white stripe in the middle of a national highway. If 1 gallon of paint covers an area of a square feet of the road, how many barrels of paint will be needed to paint a stripe b inches wide on a stretch of the highway that is c miles long? (1 mile = 5,280 feet, 1 foot = 12 inches, and 1 barrel = 31.5 gallons)

(A) $$\frac{5280bc}{31.5 × 12a}$$

(B) $$\frac{5280ab}{31.5 × 12c}$$

(C) $$\frac{5280abc}{31.5 × 12}$$

(D) $$\frac{5280 × 12c}{31.5 × ab}$$

(E) $$\frac{5280 × 12a}{31.5 × bc}$$

Area = b (inches) * c (miles)

Lets convert the area into ft^2
= b/12 (ft) * 5280 * c(ft)

Now a ft^2 for 1 gallon
b/12 (ft) * 5280 * c(ft) = b/12 (ft) * 5280 * c(ft) * 1/ a (ft^2)
= bc/12 * 5280 * 1/a gallon

1 gallon = (1/31.5) barrel
bc/12 * 5280 * 1/a gallon = $$\frac{1}{31.5}$$ * $$\frac{bc}{12}$$ * 5280 * $$\frac{1}{a}$$

= $$\frac{5280bc}{31.5 × 12a}$$
_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

Re: A municipal corporation is to paint a solid white stripe in the middle   [#permalink] 07 Feb 2019, 20:58
Display posts from previous: Sort by