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• ### $450 Tuition Credit & Official CAT Packs FREE November 15, 2018 November 15, 2018 10:00 PM MST 11:00 PM MST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) # Linda and Angela contract to paint a neighbor's house. Even though Lin  post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Senior Manager Joined: 29 Jan 2011 Posts: 291 Linda and Angela contract to paint a neighbor's house. Even though Lin [#permalink] ### Show Tags 23 Sep 2011, 01:16 3 00:00 Difficulty: 75% (hard) Question Stats: 43% (02:22) correct 57% (01:59) wrong based on 49 sessions ### HideShow timer Statistics Linda and Angela contract to paint a neighbor's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ? A) 1/2 m B) 1/3 m C) 1/4 m D) 1/5 m E) 1/6 m OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/linda-and-an ... 26945.html Senior Manager Joined: 29 Jan 2011 Posts: 291 Re: Linda and Angela contract to paint a neighbor's house. Even though Lin [#permalink] ### Show Tags Updated on: 23 Sep 2011, 01:36 siddhans wrote: Couldnt find after searching hence posting ... Linda and Angela contract to paint a neighbor's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m? A)(1/2)m B)(1/3)m C)(1/4)m D)(1/5)m E)(1/6)m I am stuck solving this in between Let Angela worked x hours and Let Linda worked 1.5 x hours Total compensation both received = m$

Thus hourly rate for Linda = (TOtal money received /No of hours worked) = m/1.5x

Hourly rate for Angela = m/x

Now Angela gives n dollars to Linda

Thus Angela has m-n $And Linda has m + n$

Now (m + n)/(1.5x) = (m-n)/x

m + n = 1.5 m + 1.5 n

Thus, 0.5m = 2 n

n= (5/20) m

n = (1/4) m

But OA is 1/5 m

Originally posted by siddhans on 23 Sep 2011, 01:31.
Last edited by siddhans on 23 Sep 2011, 01:36, edited 1 time in total.
Manager
Joined: 20 Aug 2011
Posts: 128
Re: Linda and Angela contract to paint a neighbor's house. Even though Lin  [#permalink]

### Show Tags

23 Sep 2011, 01:33
A's rate =m/t $/h L's rate= m/(1.5)t$/h

new rate for
A=m-n/t
L=(m+n)1.5t

According to given conditions, the new rate for A & L must be equal

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

or 3(m-n)=2(m+n)

3m -3n=2m+2n
m=5n

m=n/5

D
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Senior Manager
Joined: 29 Jan 2011
Posts: 291
Re: Linda and Angela contract to paint a neighbor's house. Even though Lin  [#permalink]

### Show Tags

23 Sep 2011, 01:40
siddhans wrote:
siddhans wrote:
Couldnt find after searching hence posting ...

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

I am stuck solving this in between

Let Angela worked x hours and
Let Linda worked 1.5 x hours

Total compensation both received = m$Thus hourly rate for Linda = (TOtal money received /No of hours worked) = m/1.5x Hourly rate for Angela = m/x Now Angela gives n dollars to Linda Thus Angela has m-n$

after A gave away $n to A ,their per hour charge became equal => (m+n) * ( 2/(3t)) = (m-n)/t => m = 5n => n = (1/5)*m Answer is D. Current Student Joined: 08 Jan 2009 Posts: 304 GMAT 1: 770 Q50 V46 Re: Linda and Angela contract to paint a neighbor's house. Even though Lin [#permalink] ### Show Tags 26 Sep 2011, 12:56 We are given two rates: m / L m / A Following the payment of money, the following must hold: (m+n) / L = (m-n) / A We know that L = 1.5A, so its just a matter of getting rid of some variables and rearranging: Lets cross multiply and rearrange: A(m+n) = L(m-n) m+n = L/A * (m-n) Using L = 1.5A: m+n = 1.5A/A * (m-n) m+n = 1.5 * (m-n) rearrange: m+n = 1.5m - 1.5n n+1.5n = 1.5m - m 2.5n = .5m n = .5 / 2.5 * m n = 1 / 5 * m D) Math Expert Joined: 02 Sep 2009 Posts: 50571 Re: Linda and Angela contract to paint a neighbor's house. Even though Lin [#permalink] ### Show Tags 18 Dec 2017, 22:50 Linda and Angela contract to paint a neighbour's house. Even though Linda spends 50% more time painting the house than Angela, each receives a payment of m dollars when the work is completed. If Angela decides to pay Linda n dollars so that they would have received the same compensation per hour worked, what is n in terms of m ? A) 1/2 m B) 1/3 m C) 1/4 m D) 1/5 m E) 1/6 m After the final transaction: Angela received$(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 $$\frac{(m - n)}{t}=\frac{(m+n)}{1.5t}$$:

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

$$m=5n$$;

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

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/linda-and-an ... 26945.html
_________________
Re: Linda and Angela contract to paint a neighbor's house. Even though Lin &nbs [#permalink] 18 Dec 2017, 22:50
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