GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 07 Dec 2019, 09:04

### GMAT 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

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

Practice
Pays

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

# How long, in minutes, did it take a bicycle wheel to roll along a flat

Author Message
TAGS:

### Hide Tags

Senior Manager
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 439
Location: United Kingdom
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
How long, in minutes, did it take a bicycle wheel to roll along a flat  [#permalink]

### Show Tags

01 Apr 2012, 16:39
2
1
12
00:00

Difficulty:

25% (medium)

Question Stats:

70% (01:13) correct 30% (01:06) wrong based on 485 sessions

### HideShow timer Statistics

How long, in minutes, did it take a bicycle wheel to roll along a flat, straight 300-meter path?

(1) The wheel made one full 360-degree rotation every 1.5 meters.
(2) The wheel made 18 360-degree rotations per minute.

_________________
Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730
Math Expert
Joined: 02 Sep 2009
Posts: 59588
Re: How long, in minutes, did it take a bicycle wheel to roll along a flat  [#permalink]

### Show Tags

01 Apr 2012, 16:49
1
3
How long, in minutes, did it take a bicycle wheel to roll along a flat, straight 300-meter path?

Time=Distance:Rate, so to get the time we nee to find the rate of the bicycle.

(1) The wheel made one full 360-degree rotation every 1.5 meters --> basically tells us that the circumference of the wheel is 1.5 meters. Not sufficient.

(2) The wheel made 18 360-degree rotations per minute --> the rate of the bicycle is 18 circumference per minute, but since we don't know the length of the circumference then this statement is also insufficient.

(1)+(2) Th rate 18*circumference=18*1.5=27 meter/minute. Sufficient.

_________________
Senior Manager
Joined: 01 Apr 2010
Posts: 273
Location: Kuwait
Schools: Sloan '16 (M)
GMAT 1: 710 Q49 V37
GPA: 3.2
WE: Information Technology (Consulting)
Re: How long, in minutes, did it take a bicycle wheel to roll along a flat  [#permalink]

### Show Tags

20 Apr 2012, 19:54
Went with C. Above explanation is great,

basically we need a time reference and a distance reference to figure out how much time the wheel will take to go any distance, first one gives us the size of the wheel circumference in meters and the second tells us meters per minute using both pieces we can figure out how long it will take to roll any distance amount.
Math Expert
Joined: 02 Sep 2009
Posts: 59588
Re: How long, in minutes, did it take a bicycle wheel to roll along a flat  [#permalink]

### Show Tags

27 Jun 2013, 01:02
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

All DS Distance/Rate Problems to practice: search.php?search_id=tag&tag_id=44
All PS Distance/Rate Problems to practice: search.php?search_id=tag&tag_id=64

_________________
Intern
Joined: 09 Jun 2012
Posts: 27
Re: How long, in minutes, did it take a bicycle wheel to roll along a flat  [#permalink]

### Show Tags

22 Jul 2013, 02:51
Bunuel wrote:

(2) The wheel made 18 360-degree rotations per minute --> the rate of the bicycle is 18 circumference per minute, but since we don't know the length of the circumference then this statement is also insufficient.

I used 18 as the speed. Basically missed to calculate speed by multiplying number of rotations with circumference. Thanks for the explanation Bunuel!
Manager
Joined: 24 May 2013
Posts: 75
Re: How long, in minutes, did it take a bicycle wheel to roll along a flat  [#permalink]

### Show Tags

25 Jul 2013, 22:46
enigma123 wrote:
How long, in minutes, did it take a bicycle wheel to roll along a flat, straight 300-meter path?

(1) The wheel made one full 360-degree rotation every 1.5 meters.
(2) The wheel made 18 360-degree rotations per minute.

can someone please explain the concept?

An alternate solution may be

T= time taken to cover the entire distance
V= velocity
W= frequency = rev per sec

Distance (300)= v * T = (wr)* T
Now w is given in second statement
And r is given in first statement

Senior Manager
Joined: 13 May 2013
Posts: 396
Re: How long, in minutes, did it take a bicycle wheel to roll along a flat  [#permalink]

### Show Tags

28 Jul 2013, 16:38
1
How long, in minutes, did it take a bicycle wheel to roll along a flat, straight 300-meter path?

(1) The wheel made one full 360-degree rotation every 1.5 meters.
This tells us nothing about how long it took for the wheel to rotate.
NOT SUFFICIENT

(2) The wheel made 18 360-degree rotations per minute.
This tells us nothing about the size of the wheel.
INSUFFICIENT

1+2 we are told the diameter of the wheel and how long it takes to make a set number of rotations.
The wheel makes 18 full rotations per minute and travels 1.5 meters per rotation. Therefore it travels 24m/minute. 300/24 = 12.5

SUFFICIENT

(C)
Manager
Joined: 07 May 2013
Posts: 87
Re: How long, in minutes, did it take a bicycle wheel to roll along a flat  [#permalink]

### Show Tags

05 Aug 2013, 17:05
EASY way to understand this problem
replace the word 360 degrees with 1 revolution
1.5 mt=1 rev
300 mt=? which is 300/1.5

18 rev = 1 min
300/1.5 rev=? min
DO not do simplifications as it wastes valuable time.
problem solved>
Senior Manager
Joined: 10 Jul 2013
Posts: 282
Re: How long, in minutes, did it take a bicycle wheel to roll along a flat  [#permalink]

### Show Tags

05 Aug 2013, 23:38
enigma123 wrote:
How long, in minutes, did it take a bicycle wheel to roll along a flat, straight 300-meter path?

(1) The wheel made one full 360-degree rotation every 1.5 meters.
(2) The wheel made 18 360-degree rotations per minute.

can someone please explain the concept?

st(1), nothing about time, so not sufficient.
st(2), 18 × 360-degree rotations in = 1 minute.
but need this data in aspect of meter.
so using both statement together,
18 × 360-degree rotations = 18 × 1.5 = 27meters.

27 meters in = 1 minute
so, 300 meters in = 300/27 = fixed value.
so both together are sufficient. Answer C
Manager
Status: IF YOU CAN DREAM IT, YOU CAN DO IT
Joined: 03 Jul 2017
Posts: 186
Location: India
Re: How long, in minutes, did it take a bicycle wheel to roll along a flat  [#permalink]

### Show Tags

27 Jul 2017, 21:25
This is how i did this problem. Kindly let me know if i am wrong. So the total distance is given as 300 meters. So from statement 1 if the wheel can travel for one round by travelling 1.5 mt then for 300 meters it has to go for 200 revolutions. 300/1.5=200 but here we don't know the time taken.
From statement 2, the revolutions per minute is given but we don't know the how many total minutes will it keep revolving , Not sufficient
From 1+2 both unknown values can be found out. Hence C
Non-Human User
Joined: 09 Sep 2013
Posts: 13722
Re: How long, in minutes, did it take a bicycle wheel to roll along a flat  [#permalink]

### Show Tags

18 Oct 2019, 04:52
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: How long, in minutes, did it take a bicycle wheel to roll along a flat   [#permalink] 18 Oct 2019, 04:52
Display posts from previous: Sort by