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The total charge to rent a car for one day from Company J consists of

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Silviax
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The total charge to rent a car for one day from Company J consists of [#permalink] New post   Updated on: 15 Sep 2020, 05:15
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79% (01:59) correct 21% (02:00) wrong based on 652 sessions
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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

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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!
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D

Originally posted by Silviax on 14 May 2016, 17:03.
Last edited by Bunuel on 15 Sep 2020, 05:15, edited 2 times in total.
RENAMED THE TOPIC.
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annu170
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Re: The total charge to rent a car for one day from Company J consists of [#permalink] New post   14 May 2016, 19:41
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
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Re: The total charge to rent a car for one day from Company J consists of [#permalink] New post   15 May 2016, 05:54
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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.
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Re: The total charge to rent a car for one day from Company J consists of [#permalink] New post   15 May 2016, 06:13
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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.
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Re: The total charge to rent a car for one day from Company J consists of [#permalink] New post   15 May 2016, 09:55
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'
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Re: The total charge to rent a car for one day from Company J consists of [#permalink] New post   17 May 2016, 01:58
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
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The total charge to rent a car for one day from Company J consists of [#permalink] New post   16 Apr 2022, 03:56
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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Re: The total charge to rent a car for one day from Company J consists of [#permalink] New post   18 Jul 2023, 05:37
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Re: The total charge to rent a car for one day from Company J consists of [#permalink]
18 Jul 2023, 05:37
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