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# If Jim earns x dollars per hour, it will take him 4 hours to

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Manager
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If Jim earns x dollars per hour, it will take him 4 hours to  [#permalink]

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05 Jul 2011, 14:23
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00:00

Difficulty:

55% (hard)

Question Stats:

63% (01:41) correct 37% (01:38) wrong based on 286 sessions

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If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost?

(1) Tom makes 20% less per hour than Jim does.

(2) x + y = $43.75 ##### Most Helpful Expert Reply Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 9876 Location: Pune, India Re: Price of jacket [#permalink] ### Show Tags 06 Jul 2011, 03:00 4 2 mojorising800 wrote: If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost? (1) Tom makes 20% less per hour than Jim does. (2) x + y =$43.75

You can also use ratios here to arrive at answer (B) in moments.

Time taken by Jim : Time take by Tom = 4:5
Hourly rate of Jim : Hourly rate of Tom = 5:4 = x:y
(Since Money Earned = Hourly Rate * Time and Money to be earned is the same for both Jim and Tom)

Statement 1: We already know that hourly rate of Tom is 20% less than the hourly rate of Jim (because it is in the ratio 5:4). No information about actual dollar amount so not sufficient.

Statement 2: On the ratio scale, x+y is 9 but it is actually 43.75. So we can get the values of x and y and hence can find the cost of the jacket. Sufficient.

Note: You don't need to calculate the cost of the jacket. You just need to say whether you can calculate it.

For more on ratios, see
http://www.veritasprep.com/blog/2011/03 ... of-ratios/
http://www.veritasprep.com/blog/2011/03 ... os-in-tsd/
http://www.veritasprep.com/blog/2011/03 ... -problems/
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##### General Discussion
Manager
Joined: 14 Mar 2011
Posts: 183
Re: Price of jacket  [#permalink]

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05 Jul 2011, 15:43
2
It is given tom earns X $per hour and it takes him 4 hrs to purchase the jacket. so price of jacket 4x$. Now jim earns Y and it takes him 5hrs to earn enough to buy the jacket. So jacket's price = 5y.

so 4x= 5y thus x= 5y/4.

(1) Insufficient. - It is a redundant information. The question stem already gives the relation between x and y.

(2) sufficient - x + y = 43.75, so substitute the value of x for y. 5y/4 + y =43.75 >> 9y= 43.75 * 4 >> the price of jacket is 5y , so price = 43.75* 5*4 /9 = 875/9 $B is the answer. Senior Manager Joined: 03 Mar 2010 Posts: 336 Schools: Simon '16 (M$)
Re: Price of jacket  [#permalink]

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06 Jul 2011, 01:05
3
Jim's rate x dollar/hour.
Tom's rate y dollar/hour

Money made by Jim in 4 hours = Money made by Tom in 5 hours
=> 4x=5y----(1)

Stmt1: y=x-0.2x => y=0.8x
Put in (1) => 4x=4x. Same equation. Not sufficient.

Stmt2: x + y = $43.75 Also, 4x = 5y. Two equation , two unknown. Sufficient. OA B _________________ My dad once said to me: Son, nothing succeeds like success. Manager Status: ==GMAT Ninja== Joined: 08 Jan 2011 Posts: 174 Schools: ISB, IIMA ,SP Jain , XLRI WE 1: Aditya Birla Group (sales) WE 2: Saint Gobain Group (sales) Re: Price of jacket [#permalink] ### Show Tags 08 Jul 2011, 10:02 mojorising800 wrote: If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost? (1) Tom makes 20% less per hour than Jim does. (2) x + y =$43.75

B For me
as A and the information given in the question are same

B give an additional equation which is required to solve for the values

I wish these types of questions come in my real GMAT.......
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Re: Price of jacket  [#permalink]

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08 Jul 2011, 20:38
Jack - $x/hr has to work 4 hours to be able to buy a jacket =$4x spent on the jacket

Tom - $y/hr has to work 5 hours to be able to buy the same jacket =$5y spent on the jacket

=>4x=5y=?

1. Not sufficient

y =(80/100)x => y =4x/5=>5y =4x

which is exact same equation

2. Sufficient
we can solve this equation and equation in the stem to get the jacket price.

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Re: If Jim earns x dollars per hour, it will take him 4 hours  [#permalink]

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19 Nov 2011, 12:44
4x = 5y
=> x/y = 4/5

Statement (1) just restates this fact, so nothing new here. Insufficient.
Statement (2) gives us another equation in x and y which we can solve to find x (or y) and calculate 4x or 5y. Sufficient.

(B) it is.
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Manager
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Re: If Jim earns x dollars per hour, it will take him 4 hours  [#permalink]

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11 Feb 2012, 17:10
+1 B
solve for x and solve for y. x = price of jacket / 4 and y = p/5.
when you know the relative rates of x and y they only tell you what p equals each other...
X + Y will you the rates and setting p/4 + p/5 you can solve what p is equal to.
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Re: If Jim earns x dollars per hour, it will take him 4 hours  [#permalink]

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08 May 2013, 16:15
I dont understand why A is not sufficient. If tom earns 80% of what Jim makes, then i get the equation .8x(5)=x(4) where I got x=6.25 plug that back into the givens and I get the answer for J. I understand how you can say that this is not giving us new information but when you plug it back in you get an answer for J.

Here was my math

.8x(5)=x(4)

5=.2x(4)
1.25=.2x
x=6.25

Can someone help me understand where I went off into the wrong direction? Ive got this problem wrong 3x in the course of my studies and cannot understand where I am losing it. Thanks
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Re: If Jim earns x dollars per hour, it will take him 4 hours  [#permalink]

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08 May 2013, 21:38
Richard0715 wrote:
I dont understand why A is not sufficient. If tom earns 80% of what Jim makes, then i get the equation .8x(5)=x(4) where I got x=6.25 plug that back into the givens and I get the answer for J. I understand how you can say that this is not giving us new information but when you plug it back in you get an answer for J.

Here was my math

.8x(5)=x(4)

5=.2x(4)
1.25=.2x
x=6.25

Can someone help me understand where I went off into the wrong direction? Ive got this problem wrong 3x in the course of my studies and cannot understand where I am losing it. Thanks

Jim earns 4*x dollars in 4 hours = price of the jacket = 4x.
Similarly, Tom earns 5*y dollars in 5 hours = price of the same jacket = 5y.
Thus as 4x = 5y, we have y = 0.8x

Now from F.S 1, we know that Tom makes 80% of what Jim earns per hour--> Thus, y = 0.8x. This is exactly what we had, without the aid of any Fact Statements. Thus Insufficient.
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Re: If Jim earns x dollars per hour, it will take him 4 hours to  [#permalink]

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13 Aug 2015, 23:11
mojorising800 wrote:
If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost?

(1) Tom makes 20% less per hour than Jim does.

(2) x + y = $43.75 Jim x dollars 4 hours Tom y dollars 5 hours Since 4x = 5y, x/y 5/4; it implies y is 20% less than x Therefore, statement (1) is redundant. state(2) x+y =43.75 4x=5y therefore, x and y can be found It is sufficient to answer the question Senior Manager Joined: 09 Mar 2017 Posts: 485 Location: India Concentration: Marketing, Organizational Behavior WE: Information Technology (Computer Software) Re: If Jim earns x dollars per hour, it will take him 4 hours to [#permalink] ### Show Tags 02 Nov 2017, 04:34 Bunuel wrote: skrishnakarthik wrote: If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost? (1) Tom makes 20% less per hour than Jim does. (2) x + y =$43.75

Merging similar topics. Please refer to the solutions above.

Hello Bunuel,

Everything is fine with this question and its solution presented above, except for the part which reads- "it will take him 4 hours to earn exactly enough money to purchase a particular jacket".
Shouldn't this convert to 4x is greater than or equal to the price of the jacket, in compatibility with "exactly enough money"?
Need your guidance here.
Thank you
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Re: If Jim earns x dollars per hour, it will take him 4 hours to  [#permalink]

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02 Nov 2017, 05:30
1
TaN1213 wrote:
Bunuel wrote:
skrishnakarthik wrote:
If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost?

(1) Tom makes 20% less per hour than Jim does.

(2) x + y = \$43.75

Merging similar topics. Please refer to the solutions above.

Hello Bunuel,

Everything is fine with this question and its solution presented above, except for the part which reads- "it will take him 4 hours to earn exactly enough money to purchase a particular jacket".
Shouldn't this convert to 4x is greater than or equal to the price of the jacket, in compatibility with "exactly enough money"?
Need your guidance here.
Thank you

I'd translate "enough" as $$\geq$$ but "EXACTLY enough" as $$=$$.
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Re: If Jim earns x dollars per hour, it will take him 4 hours to  [#permalink]

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18 Mar 2019, 08:13
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Re: If Jim earns x dollars per hour, it will take him 4 hours to   [#permalink] 18 Mar 2019, 08:13
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