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

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Manager
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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
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Difficulty:

75% (hard)

Question Stats:

59% (02:09) correct 41% (02:01) wrong based on 277 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.
Added the OA
Senior Manager
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Concentration: Finance
Schools: HEC '15 (A)
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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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Linda and Angela contract to paint a neighbor's house. Even [#permalink]

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02 Feb 2012, 14:10
1
3
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 $$\frac{(m - n)}{t}=\frac{(m+n)}{1.5t}$$:

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

$$m=5n$$;

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

Answer: D.

Hope it's clear.
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Concentration: Finance, International Business
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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 My Blog Get started with Veritas Prep GMAT On Demand for$199

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Manager
Joined: 26 Feb 2012
Posts: 104
Location: India
Concentration: General Management, Finance
WE: Engineering (Telecommunications)
Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]

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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$.. Now per hour linda took m/3T and angela took m/2T. As given M/2T-n=M/37+n I did solve this equation but did not reach to answer.... Please help....+1 kudos Rgds Prasannajeet Senior Manager Joined: 10 Jul 2013 Posts: 318 Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] ### Show Tags 10 Aug 2013, 05:49 1 abhi47 wrote: Linda and Angela contract to paint a neighbor's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ? A) 1/2 m B) 1/3 m C) 1/4 m D) 1/5 m E) 1/6 m Could someone please provide a solution to this problem ? Time, L:A = 150:100=3:2 money, L:A = m:m later money, L:A = m+n:m-n now, m+n/m-n = 3/2 or, n = 1/5 m _________________ Asif vai..... Senior Manager Joined: 10 Jul 2013 Posts: 318 Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] ### Show Tags 10 Aug 2013, 05:58 1 prasannajeet wrote: Donno where i went wrong...... Let say Angela took 2T hours and Linda took 3T hour and each receive m$..
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....

Please help....+1 kudos

Rgds
Prasannajeet

here m/2 or m/3 is dollar per hour and n = just dollar.
but you are subtracting dollar from dollar per hour. it can't be true.
For example, you are subtracting 5meters from 7meter/sec like this, 7m/sec - 5m = it doesn't make any senses.

Do this correction: minus from m and plus with n, you will have your answer.
(m-n)/2 = (m+n)/3

ok?
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Asif vai.....

Manager
Joined: 26 Feb 2012
Posts: 104
Location: India
Concentration: General Management, Finance
WE: Engineering (Telecommunications)
Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]

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11 Aug 2013, 07:27
Hi Asifpirlo

Got u very clearly......I made a felony

+1 for u champ.....

Rgds
Prasannajeet
Senior Manager
Joined: 10 Jul 2013
Posts: 318
Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink]

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11 Aug 2013, 10:14
prasannajeet wrote:
Hi Asifpirlo

Got u very clearly......I made a felony

+1 for u champ.....

Rgds
Prasannajeet

thanks man.......................................
it's been a pleasure............
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Asif vai.....

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

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03 Apr 2014, 11:19
A takes 't' and gets $m L takes '1.5t' and gets$m

Then per the question:

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

Hence
n=m/5

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

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

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

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

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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
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Manager Joined: 24 Jul 2014 Posts: 96 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: 159 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

Answer: D
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Re: Linda and Angela contract to paint a neighbor's house. Even   [#permalink] 06 Mar 2018, 11:28
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# Linda and Angela contract to paint a neighbor's house. Even

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