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

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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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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
[Reveal] Spoiler: OA

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05 Jul 2011, 15:43
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 \$

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06 Jul 2011, 01:05
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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
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06 Jul 2011, 03:00
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Expert's post
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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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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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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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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IF Jim earns x dollars per hour [#permalink]

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12 Oct 2013, 10:22
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

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Re: IF Jim earns x dollars per hour [#permalink]

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12 Oct 2013, 11:20
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.
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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

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

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11 Feb 2017, 02:38
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Re: If Jim earns x dollars per hour, it will take him 4 hours to   [#permalink] 11 Feb 2017, 02:38
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