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# Linda and Angela contract to paint a neighbor's house. Even

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Manager
Joined: 17 Sep 2011
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Linda and Angela contract to paint a neighbor's house. Even  [#permalink]

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Updated on: 18 Dec 2017, 23:47
2
18
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Difficulty:

75% (hard)

Question Stats:

59% (02:37) correct 41% (02:41) wrong based on 215 sessions

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Linda and Angela contract to paint a neighbor's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?

A) 1/2 m
B) 1/3 m
C) 1/4 m
D) 1/5 m
E) 1/6 m

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Originally posted by abhi47 on 01 Feb 2012, 19:54.
Last edited by Bunuel on 18 Dec 2017, 23:47, edited 2 times in total.
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Linda and Angela contract to paint a neighbor's house. Even  [#permalink]

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02 Feb 2012, 14:10
2
4
Linda and Angela contract to paint a neighbour's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?

A) 1/2 m
B) 1/3 m
C) 1/4 m
D) 1/5 m
E) 1/6 m

After the final transaction:
Angela received $(m - n) for t hours; Linda received$(m + n) for 1.5t hours;

We are told that after that transaction they received the same compensation per hour $$\frac{(m - n)}{t}=\frac{(m+n)}{1.5t}$$:

$$1.5m-1.5n=m+n$$;

$$m=5n$$;

$$n=\frac{m}{5}$$.

Hope it's clear.
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Re: Linda and Angela contract to paint a neighbor's house. Even  [#permalink]

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02 Feb 2012, 00:00
1
Angela -time=t ;work=m-n
Linda time=1.5t; w=m+n

(m+n)/1.5t=(m-n)/t

n=1/5*m
answ is D
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Re: Linda and Angela contract to paint a neighbor's house. Even  [#permalink]

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02 Feb 2012, 21:06
OA is D
Let Angela spends t time so Linda spends 1.5t time
and each one gets a compensation of m
now Angela gives Linda n dollars. so Angela has m-n dollars and Linda has m+n dollars
since for t time Angela gets m-n dollars so for 1.5t time Linda gets
1.5(m-n)=m+n
on solving n=1/5m
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Re: Linda and Angela contract to paint a neighbor's house. Even  [#permalink]

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03 Feb 2012, 02:48
1
1
abhi47 wrote:
Linda and Angela contract to paint a neighbor's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?

A) 1/2 m
B) 1/3 m
C) 1/4 m
D) 1/5 m
E) 1/6 m

Could someone please provide a solution to this problem ?

You could also assume some values here:
A - 2 hrs, L - 3 hrs (50% more)
Each gets total $60. Had they received same compensation per hr worked, per hr compensation would have been$120/5 = 24 (Total compensation/Total hrs)
Angela would have got 24*2 = $48 So she should give (60 - 48) =$12 i.e. 1/5 th of $60 to Linda. _________________ Karishma Veritas Prep GMAT Instructor Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options > Manager Joined: 26 Feb 2012 Posts: 97 Location: India Concentration: General Management, Finance WE: Engineering (Telecommunications) Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] ### Show Tags 09 Aug 2013, 23:43 Donno where i went wrong...... Let say Angela took 2T hours and Linda took 3T hour and each receive m$..
Now per hour linda took m/3T and angela took m/2T.

As given
M/2T-n=M/37+n
I did solve this equation but did not reach to answer....

Rgds
Prasannajeet
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Joined: 10 Jul 2013
Posts: 312
Re: Linda and Angela contract to paint a neighbor's house. Even  [#permalink]

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10 Aug 2013, 05:49
2
abhi47 wrote:
Linda and Angela contract to paint a neighbor's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?

A) 1/2 m
B) 1/3 m
C) 1/4 m
D) 1/5 m
E) 1/6 m

Could someone please provide a solution to this problem ?

Time,
L:A = 150:100=3:2
money,
L:A = m:m
later money,
L:A = m+n:m-n
now,
m+n/m-n = 3/2
or, n = 1/5 m
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Re: Linda and Angela contract to paint a neighbor's house. Even  [#permalink]

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10 Aug 2013, 05:58
1
prasannajeet wrote:
Donno where i went wrong......

L takes '1.5t' and gets $m Then per the question: (m-n)/t = (m+n)/(1.5t) Hence n=m/5 Rgds, TGC! Manager Status: Applied Joined: 02 May 2014 Posts: 126 Location: India Concentration: Operations, General Management GMAT 1: 690 Q47 V38 GPA: 3.35 WE: Information Technology (Computer Software) Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] ### Show Tags 28 Nov 2014, 04:23 Take m=60 angela hours =10 and linda hours =15(To complete the task). question is asked how much dollars angela give linda so per hour both receive the same, that value is n dollars. this n dollars is asked in terms of m. Now put m = 60 in the options we get 30,20,15,12,10 respectively.from the options if we substract 12 dollars from angela and add it to linda we have a situation as follows angela has 48 dollars and Linda has 72 dollars. Now Angela per hour earning = 48/10=4.8 and Linda's per hour earning = 72/15=4.8. hence equal. so thats the answer. Hope above explanation helps VP Joined: 07 Dec 2014 Posts: 1192 Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] ### Show Tags 24 Dec 2015, 12:31 linda's time/total time=(3t/2)/(5t/2)=3/5 linda's pay/total pay=(m+n)/2m (m+n)/2m=3/5 n=m/5=1/5 m Manager Joined: 01 Aug 2014 Posts: 54 Schools: Rotman '17 (A) GMAT 1: 710 Q44 V42 Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] ### Show Tags 29 Dec 2015, 11:04 What stupid mistake am I making? I tried the plugging in numbers approach - m=$120. Angela worked 4 hours and received $50, and Linda worked 6 hours and received$50. So Angela pays Linda n=$10. According to these numbers n in terms of m is m/10... Where am I going wrong? Not sure if I've been studying too much and am at the point where I'm making a lot of careless errors. Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 9237 Location: Pune, India Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] ### Show Tags 29 Dec 2015, 23:16 1 Anonamy wrote: What stupid mistake am I making? I tried the plugging in numbers approach - m=$120. Angela worked 4 hours and received $50, and Linda worked 6 hours and received$50. So Angela pays Linda n=$10. According to these numbers n in terms of m is m/10... Where am I going wrong? Not sure if I've been studying too much and am at the point where I'm making a lot of careless errors. If m =$120, then what is $50? m is supposed to be the amount each was paid. So m should be 50 and n =10. So n = (1/5)*m _________________ Karishma Veritas Prep GMAT Instructor Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options > Manager Joined: 24 Jul 2014 Posts: 90 Location: India WE: Information Technology (Computer Software) Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] ### Show Tags 03 Jan 2016, 08:25 Let , Time taken by Angela =t so that of Linda = 3t/2 so L:A=3:2.Total Pay 2m must be divided in this ratio . so Linda should get 6m/5.Instead she got m so Angela gave her = 6m/5-m=m/5 Hence Ans = D _________________ The Mind ~ Muscle Connection My GMAT Journey is Complete.Going to start the MBA in Information Management from 2016 Good Luck everyone. Manager Joined: 22 Jan 2014 Posts: 173 WE: Project Management (Computer Hardware) Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] ### Show Tags 03 Jan 2016, 11:05 abhi47 wrote: Linda and Angela contract to paint a neighbor's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ? A) 1/2 m B) 1/3 m C) 1/4 m D) 1/5 m E) 1/6 m Could someone please provide a solution to this problem ? took me over 3 mins to solve coz i got confused toward the end ( ) but this is how i did it: let Angela work for 2 hours and Linda work for 3 hours (1.5 times of Angela) so they should be paid in the rations of their working hours. Linda should get 3*(2m)/5 and Angela should get 2*(2m)/5 [2m because both receive m dollars so 2m is total money that needs to be distributed between them] let m = 10 dollars. => Linda must get$12 and Angela must get $8. whereas both of them received$10 each.
hence Angela must give $2 to Linda. => n =$2
therefore, n = m/5
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Re: Linda and Angela contract to paint a neighbor's house. Even  [#permalink]

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06 Mar 2018, 11:28
abhi47 wrote:
Linda and Angela contract to paint a neighbor's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ?

A) 1/2 m
B) 1/3 m
C) 1/4 m
D) 1/5 m
E) 1/6 m

We can let t = the amount of time Angela worked and create the equation:

(m - n)/t = (m + n)/1.5t

1.5t(m - n) = t(m + n)

1.5(m - n) = (m + n)

1.5m - 1.5n = m + n

0.5m = 2.5n

5m = 25n

5m/25 = n

m/5 = n

(1/5)m = n

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Re: Linda and Angela contract to paint a neighbor's house. Even  [#permalink]

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24 Mar 2019, 17:30
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Re: Linda and Angela contract to paint a neighbor's house. Even   [#permalink] 24 Mar 2019, 17:30
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