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

 It is currently 07 Dec 2019, 06:40

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

Randy drove the first third of his trip on a gravel road, the next 20

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59589
Randy drove the first third of his trip on a gravel road, the next 20  [#permalink]

Show Tags

23 Apr 2019, 13:33
00:00

Difficulty:

25% (medium)

Question Stats:

85% (01:55) correct 15% (02:10) wrong based on 27 sessions

HideShow timer Statistics

Randy drove the first third of his trip on a gravel road, the next 20 miles on pavement, and the remaining one-fifth on a dirt road. In miles, how long was Randy's trip?

(A) 30
(B) 400/11
(C) 75/2
(D) 40
(E) 300/7

_________________
Manager
Joined: 31 Dec 2018
Posts: 114
Location: India
Re: Randy drove the first third of his trip on a gravel road, the next 20  [#permalink]

Show Tags

23 Apr 2019, 15:06
Let the total distance be x.
travelled =x/3+20
remaining = x-(x/3+20)= 2x-60/3.

remaining dist is 1/5 of the total distance.
x/5=2x-60/3

equating for x
we get,
X =300/7

Posted from my mobile device
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8622
Location: United States (CA)
Re: Randy drove the first third of his trip on a gravel road, the next 20  [#permalink]

Show Tags

26 Apr 2019, 15:34
Bunuel wrote:
Randy drove the first third of his trip on a gravel road, the next 20 miles on pavement, and the remaining one-fifth on a dirt road. In miles, how long was Randy's trip?

(A) 30
(B) 400/11
(C) 75/2
(D) 40
(E) 300/7

Let’s let n = the total distance that Randy drove. We can create the distance equation:

n/3 + 20 + n/5 = n

Multiplying by 15, we have:

5n + 300 + 3n = 15n

300 = 7n

300/7 = n

_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5436
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Randy drove the first third of his trip on a gravel road, the next 20  [#permalink]

Show Tags

27 Apr 2019, 02:17
Bunuel wrote:
Randy drove the first third of his trip on a gravel road, the next 20 miles on pavement, and the remaining one-fifth on a dirt road. In miles, how long was Randy's trip?

(A) 30
(B) 400/11
(C) 75/2
(D) 40
(E) 300/7

total distance = x
so first x/3 and 20
left x-(x/3+20) ; 2x-60/3
this is equal to x/5
2x-60/3 = x/5
x = 300/7
IMO E
Re: Randy drove the first third of his trip on a gravel road, the next 20   [#permalink] 27 Apr 2019, 02:17
Display posts from previous: Sort by