Last visit was: 12 Jul 2024, 17:10 It is currently 12 Jul 2024, 17:10

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Verbal Expert
Joined: 18 Apr 2015
Posts: 29080
Own Kudos [?]: 34063 [5]
Given Kudos: 25479
Send PM
avatar
Intern
Intern
Joined: 27 Jan 2020
Posts: 31
Own Kudos [?]: 35 [4]
Given Kudos: 0
Send PM
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 11864 [3]
Given Kudos: 136
Send PM
avatar
Manager
Manager
Joined: 02 Feb 2020
Posts: 52
Own Kudos [?]: 60 [2]
Given Kudos: 0
Send PM
Re: Jan and Marko are competing in an o?-road race. Jan complete [#permalink]
2
Carcass wrote:
Jan and Marko are competing in an off-road race. Jan completes 3/4 of the race in 2 hours. Marko completes 2/3 of the race in 5/8 of the time it takes Jan to complete 9/10 of the race.


Quantity A
Quantity B
Jan’s rate
Marko’s rate


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation


Let's assume that the race is 200 miles.

Time*Rate = Work

For Jan the equation is: 2*Rj = 150 (3/4 of 100)

Rj = 75

For Marko the equation is 5/8*2Rm = 180 (9/10 of 200)

Rm = 180/(10/8) = 18*8 = 144


Marko's rate is greater.
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3017 [1]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Jan and Marko are competing in an o?-road race. Jan complete [#permalink]
1
Carcass wrote:
Jan and Marko are competing in an off-road race. Jan completes 3/4 of the race in 2 hours. Marko completes 2/3 of the race in 5/8 of the time it takes Jan to complete 9/10 of the race.


Quantity A
Quantity B
Jan’s rate
Marko’s rate


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation


Here Rate means Speed and Rate = \(\frac{Work}{Time}\)

Rate of Jan = \(\frac{0.75}{2} = 0.375\)

Time take by Jan to complete \(\frac{9}{10}\) distance = \((\frac{0.9}{0.375}) = 2.4\)

Now,
Rate of Marko \(= \frac{0.66}{0.625 of time taken by Jan to cover 0.9 distance}\)

\(\frac{0.66}{{(0.625)(2.4)}}\)

\(\frac{0.66}{1.5} = 0.444\)

Col. A: \(0.375\)
Col. B: \(0.444\)

Col. A < Col. B

Hence, option B
Manager
Manager
Joined: 03 Aug 2022
Posts: 54
Own Kudos [?]: 32 [0]
Given Kudos: 69
Send PM
Jan and Marko are competing in an o?-road race. Jan complete [#permalink]
Sorry for those who love fractions (not my case).
Maybe integers (with some concession for decimals) can help...

Using the denominators (4*3*8*10). Say the race is 960km long.
Jan completes 3/4 of it (720km) in 2 hours, which is a rate of 340km/h.
Marko completes 2/3 of the race (640km) in 5/8 of the time it takes Jan to complete 9/10:
9/10 of the race is 864km/340 = 2.5 hours (rounding).
5/8 of this time is 1.6 (rounding).
640/1.59 is 408km/h

So Mark is faster :)
Intern
Intern
Joined: 17 Sep 2022
Posts: 16
Own Kudos [?]: 13 [2]
Given Kudos: 14
Send PM
Re: Jan and Marko are competing in an o?-road race. Jan complete [#permalink]
2
I think the answer should be D because the question does not state that Jan and Marko are competing at a constant rate. We will have to assume that Jan will complete 9/10th of the race at the same rate as he completed 3/4th of the race, which may not be true. (Perhaps Jan stops for a nap after completing 3/4th of his race, lol!)
Intern
Intern
Joined: 06 Jun 2024
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 37
Send PM
Re: Jan and Marko are competing in an o?-road race. Jan complete [#permalink]
I think the question needs to specify that they are going at their respective constant rates. Otherwise, it should be D.
Prep Club for GRE Bot
[#permalink]
Moderators:
GRE Instructor
46 posts
GRE Forum Moderator
17 posts
Moderator
1090 posts
GRE Instructor
218 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne