It is currently 21 Jul 2019, 07:43

### 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

# A board of length L feet is cut into two pieces such that th

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 7401
Followers: 125

Kudos [?]: 1449 [0], given: 6611

A board of length L feet is cut into two pieces such that th [#permalink]  20 Jun 2018, 09:42
Expert's post
00:00

Question Stats:

74% (02:00) correct 24% (01:28) wrong based on 28 sessions
A board of length L feet is cut into two pieces such that the length of one piece is 1 foot more than twice the length of the other piece. Which of the following is the length, in feet, of the longer piece?

(A) $$\frac{L + 2}{2}$$

(B) $$\frac{2L +1}{2}$$

(C) $$\frac{L-1}{3}$$

(D) $$\frac{2L+ 3}{3}$$

(E) $$\frac{2L+1}{3}$$
[Reveal] Spoiler: OA

_________________
Director
Joined: 20 Apr 2016
Posts: 948
WE: Engineering (Energy and Utilities)
Followers: 13

Kudos [?]: 706 [1] , given: 152

Re: A board of length L feet is cut into two pieces such that th [#permalink]  23 Jun 2018, 06:40
1
KUDOS
Carcass wrote:
A board of length L feet is cut into two pieces such that the length of one piece is 1 foot more than twice the length of the other piece. Which of the following is the length, in feet, of the longer piece?

(A) $$\frac{L + 2}{2}$$

(B) $$\frac{2L +1}{2}$$

(C) $$\frac{L-1}{3}$$

(D) $$\frac{2L+ 3}{3}$$

(E) $$\frac{2L+1}{3}$$

In this type I prefer to use number; however there are other ways to solve it -

Let
B = smaller side = 3

A = Larger side = 1 + (2*3) = 7

So the total length = 10.

Put the value of L in the option and we need 7 as an answer. Only option E yields the correct answer.

It is also advisable to start substituting the number L from option C as we will come to know whether we need to proceed towards option A or to option E.
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html

Manager
Joined: 02 Dec 2018
Posts: 74
Followers: 0

Kudos [?]: 7 [0], given: 60

Re: A board of length L feet is cut into two pieces such that th [#permalink]  13 Dec 2018, 17:37
I was able to solve this using numbers, but it didn't work out using algebraic expressions. Can someone find out why? [quantity][/quantity]

Let's split up a line and translate the sentence given into an equation. Then the line can be broken up to a piece of length 2x+1 and a piece of length x. Then 3x+1 = L. Solving for L we get

x = (L-1)/3

Therefore, the length of the longer piece by substitution is 2x+1 = 2(l-1)/3

Target Test Prep Representative
Joined: 12 Sep 2018
Posts: 149
Followers: 6

Kudos [?]: 104 [1] , given: 0

Re: A board of length L feet is cut into two pieces such that th [#permalink]  21 Jan 2019, 17:41
1
KUDOS
Expert's post
Carcass wrote:
A board of length L feet is cut into two pieces such that the length of one piece is 1 foot more than twice the length of the other piece. Which of the following is the length, in feet, of the longer piece?

(A) $$\frac{L + 2}{2}$$

(B) $$\frac{2L +1}{2}$$

(C) $$\frac{L-1}{3}$$

(D) $$\frac{2L+ 3}{3}$$

(E) $$\frac{2L+1}{3}$$

We can let b= the length of piece B and (2b - 1) = the length of piece A and create the equation:

b + 2b - 1 = L

3b - 1 = L

3b = L + 1

b = (L + 1)/3

So the length of piece A is:

2(L + 1)/3 - 1

(2L + 2)/3 - 1

(2L + 2)/3 - 3/3 = (2L - 1)/3

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
22 Reviews

5-star rated online GRE quant
self study course

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

Re: A board of length L feet is cut into two pieces such that th   [#permalink] 21 Jan 2019, 17:41
Display posts from previous: Sort by