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The total charge to rent a car for one day from Company J consists of
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Author:  Silviax [ 14 May 2016, 16:03 ]
Post subject:  The total charge to rent a car for one day from Company J consists of

The total charge to rent a car for one day from Company J consists of a fixed charge of $15.00 plus a charge of $0.20 per mile driven. The total charge to rent a car for one day from Company K consists of a fixed charge of $20.00 plus a charge of $0.10 per mile driven. Is the total charge to rent a car from company J for one day and drive it x miles less than $25.00?

(1) The total charge to rent a car from Company K for one day and drive it x miles is less than $25.00
(2) x < 50

And this is exactly why I am having a super hard time with data sufficiency questions. It is NOT mentioned in the question prompt at all that the same number of miles is driven with the car rented from company J and the one rented from company K.
Statement No. 1 says absolutely nothing about company J at all. How can this be sufficient?
Of course I could have solved it if they would have stated that x miles driven with the K company car and J company car are the same. X is variable and can express any number. It is not a constant. How could you possibly assume it is the same for both cases?

I am totally baffled here!

Author:  annu170 [ 14 May 2016, 18:41 ]
Post subject:  Re: The total charge to rent a car for one day from Company J consists of

According to Question, it is given that;

For company J; Rent= $15+0.20x
For company K; Rent= $20+ 0.10x

Staetement 1: If the the total rent for company X when drove x miles, is less than $ 25, comparing the equations of Company J and Company Y (Rent), its obvious that the rent of company J is also less than $25.

Stament 2: Just plugg in the value of x, and u will get it..

This is how I analyze this question. I guess this might work.. :D :D

Author:  Bunuel [ 15 May 2016, 04:54 ]
Post subject:  Re: The total charge to rent a car for one day from Company J consists of

Silviax wrote:
The total charge to rent a car for one day from Company J consists of a fixed charge of $15.00 plus a charge of $0.20 per mile driven. The total charge to rent a car for one day from Company K consists of a fixed charge of $20.00 plus a charge of $0.10 per mile driven. Is the total charge to rent a car from company J for one day and drive it x miles less than $25.00?

(1) The total charge to rent a car from Company K for one day and drive it x miles is less than $25.00
(2) x < 50

And this is exactly why I am having a super hard time with data sufficiency questions. It is NOT mentioned in the question prompt at all that the same number of miles is driven with the car rented from company J and the one rented from company K.
Statement No. 1 says absolutely nothing about company J at all. How can this be sufficient?
Of course I could have solved it if they would have stated that x miles driven with the K company car and J company car are the same. X is variable and can express any number. It is not a constant. How could you possibly assume it is the same for both cases?

I am totally baffled here!


x there is some specific number even though we don't know what it is.

The total charge to rent a car for one day from Company J consists of a fixed charge of $15.00 plus a charge of $0.20 per mile driven. The total charge to rent a car for one day from Company K consists of a fixed charge of $20.00 plus a charge of $0.10 per mile driven. Is the total charge to rent a car from company J for one day and drive it x miles less than $25.00?

Is the total charge to rent a car from company J for one day and drive it x miles less than $25.00: is 15 + 0.2x < 25 --> is x < 50?

(1) The total charge to rent a car from Company K for one day and drive it x miles is less than $25.00.

20 + 01x < 25 --> x < 50. Sufficient.

(2) x < 50. Sufficient.

Answer: D.

Hope it's clear.

Author:  Senthil7 [ 15 May 2016, 05:13 ]
Post subject:  Re: The total charge to rent a car for one day from Company J consists of

C(j) = 15 +0.20x
C(k) = 20+0.10x

Where C(j) and C(k) are total costs of each company to drive the car down for x miles

1. implies C(k) <25 => 20+0.10X < 25 (subtract 20 from both sides) => 0.10X<5 (now multiply both sides by 10) => X<50.
Substitute the maximum value for X ,i.e, 49 in equation for C(j) you will get a value of $ 24.8 . Since there is no rounding off constraint here, this is sufficient.
2. x<50 . Directly substitute largest possible value for x ,i.e, 49 in equation for C(j) and you will get an answer same as above hence Sufficient.
.
Answer is "D" Each Statement alone is sufficient.

Author:  Divyadisha [ 15 May 2016, 08:55 ]
Post subject:  Re: The total charge to rent a car for one day from Company J consists of

Silviax wrote:
The total charge to rent a car for one day from Company J consists of a fixed charge of $15.00 plus a charge of $0.20 per mile driven. The total charge to rent a car for one day from Company K consists of a fixed charge of $20.00 plus a charge of $0.10 per mile driven. Is the total charge to rent a car from company J for one day and drive it x miles less than $25.00?

(1) The total charge to rent a car from Company K for one day and drive it x miles is less than $25.00
(2) x < 50



Total cost to rent a car from company J (to drive x miles/day)= 15+.20x
Total cost to rent a car from company K (to drive x miles/day)= 20+.10x

Now the question is asking if 15+.20x<25
.20x<10
x<500 (This is what we have to find from the given statements)

Statement 1:-
20+.10x<25
.10x<5
x<500 (Sufficient)

Statement 2:-

x<50 (Sufficient)

Answer should be 'D'

Author:  AverageGuy123 [ 17 May 2016, 00:58 ]
Post subject:  Re: The total charge to rent a car for one day from Company J consists of

k= 20 + X/10

as per question k< 25
20 + x/10 < 25

x/10<5
x<50 same as option II

If miles driven is less than 50
j= 15+X/5
x can be 1 or 49 in either case X<24.9 or 20.1

Author:  Kimberly77 [ 16 Apr 2022, 02:56 ]
Post subject:  The total charge to rent a car for one day from Company J consists of

Could someone help here please? brunel Divyadisha AverageGuy123 Senthil7
Question is asking Is the total charge to rent a car from Company J for one day and drive it x miles less than $25.00 ?
Statement (1) is info of Company K. Not sure how that make it sufficient here for Company J? Thanks

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