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

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abhi47
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Linda and Angela contract to paint a neighbor's house. Even [#permalink] New post   Updated on: 18 Dec 2017, 23:47
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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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D

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] New post   02 Feb 2012, 14:10
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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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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] New post   03 Feb 2012, 02:48
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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.
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] New post   02 Feb 2012, 00:00
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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] New post   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] New post   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
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] New post   10 Aug 2013, 05:49
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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] New post   10 Aug 2013, 05:58
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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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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] New post   11 Aug 2013, 07:27
Hi Asifpirlo

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

+1 for u champ.....

Rgds
Prasannajeet
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] New post   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............ :-D
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] New post   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] New post   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 :-D
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] New post   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] New post   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] New post   29 Dec 2015, 23:16
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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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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] New post   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
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] New post   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] New post   06 Mar 2018, 11:28
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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] New post   30 Dec 2020, 11:51
Bunuel wrote:
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.

Why are we adding and subtracting different values of n when it is the same value being by Angela and received by Linda?
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Re: Linda and Angela contract to paint a neighbor's house. Even [#permalink] New post   05 Dec 2023, 15:54
If Angela spends 1 unit of time Linda is spending 3/2 units, for a total of 5/2 units.

So Linda spends (3/2)/(5/2) or 3/5 of the total time and therefore should receive 3/5 of the total compensation, which is 2m.

So she should be getting

3/5*2m or 6/5 m.

She already has 5/5 m, so she needs 1/5m from Angela.

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