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

Question

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 ?

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

Bunuel · Accepted Answer

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 ?

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.

KarishmaB · Answer

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.

LalaB · Answer

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

subhajeet · Answer

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

prasannajeet · Answer

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

Asifpirlo · Answer

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

Asifpirlo · Answer

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?

TGC · Answer

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!

mridupawandas · Answer

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

gracie · Answer

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

Anonamy · Answer

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.

KarishmaB · Answer

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

tryambaks · Answer

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

thefibonacci · Answer

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 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

JeffTargetTestPrep · Answer

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

Regor60 · Answer

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.

Posted from my mobile device

Advait01 · Answer

Easiest ways to solve these type of questions is by assuming values if u can't form algebric equations fast enough 
Ans will be D

egmat · Answer

Linda works  50%  more time than Angela, but both get paid the same amount ( m  dollars). This isn't fair! So Angela agrees to pay Linda some amount ( n  dollars) to make their hourly rates equal.

Setting Up the Problem: 
Let's say Angela works for  t  hours.
Then Linda works for  1.5t  hours (that's 50% more than t).

If Linda works 1.5 times as long, she should get 1.5 times the pay for equal hourly rates.

Initial situation: 
• Angela has:  m  dollars
• Linda has:  m  dollars
• Total money:  2m  dollars

After Angela pays Linda n dollars: 
• Angela has:  m - n  dollars
• Linda has:  m + n  dollars

The Key Step: 
For  equal hourly pay , their earnings must be proportional to hours worked.

Linda's hours : Angela's hours =  1.5t : t = 3 : 2

So Linda should get 3 parts and Angela should get 2 parts of the total 2m dollars.

Total parts =  3 + 2 = 5

• Linda should get:  (3/5) × 2m = 6m/5 
• Angela should get:  (2/5) × 2m = 4m/5

Finding n: 
Linda currently has  m  and should have  6m/5 .

n = 6m/5 - m = 6m/5 - 5m/5 =  m/5  =  1/5 m

Answer: D

Quick Verification: 
• Angela ends up with: m - m/5 = 4m/5
• Linda ends up with: m + m/5 = 6m/5
• Angela's rate: (4m/5) ÷ t = 4m/5t
• Linda's rate: (6m/5) ÷ 1.5t = (6m/5) × (1/1.5t) = 6m/7.5t = 4m/5t ✓

Both have the same hourly rate!

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards