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

 It is currently 18 Jun 2019, 00:31

### 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

# If a bicycle has two wheels one twice as wide as the other, at how man

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55650
If a bicycle has two wheels one twice as wide as the other, at how man  [#permalink]

### Show Tags

12 Sep 2018, 00:23
00:00

Difficulty:

55% (hard)

Question Stats:

53% (01:20) correct 47% (01:42) wrong based on 80 sessions

### HideShow timer Statistics

If a bicycle has two wheels one twice as wide as the other, at how many meters per second does the larger wheel rotate?

(1) The smaller wheel rotates at 3 meters per second.
(2) The smaller wheel makes 10 rotations per second.

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7752
Re: If a bicycle has two wheels one twice as wide as the other, at how man  [#permalink]

### Show Tags

12 Sep 2018, 19:30
2
1
Bunuel wrote:
If a bicycle has two wheels one twice as wide as the other, at how many meters per second does the larger wheel rotate?

(1) The smaller wheel rotates at 3 meters per second.
(2) The smaller wheel makes 10 rotations per second.

We are looking at speed in terms of m/s..
Twice wide would mean twice the dia and so twice the radius..
So $$r_s*2=r_l$$
Now the distance covered will be in terms of the circumference and the circumference of larger will be twice the circumference of smaller so if we are looking at ROTATION per minute, larger will have HALF the rotation..

But here we are asked mps and since the distance traveled in a certain time would be same for the two wheels, the mps would be SAME

(1) The smaller wheel rotates at 3 meters per second.
So larger too is 3mps
Sufficient

(2) The smaller wheel makes 10 rotations per second
We can just say larger wheel makes 5 rotations per second. But nothing about radius, so
Insufficient

A
_________________
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 1020
Location: India
GPA: 3.64
If a bicycle has two wheels one twice as wide as the other, at how man  [#permalink]

### Show Tags

12 Sep 2018, 21:54
Bunuel wrote:
If a bicycle has two wheels one twice as wide as the other, at how many meters per second does the larger wheel rotate?

(1) The smaller wheel rotates at 3 meters per second.
(2) The smaller wheel makes 10 rotations per second.

The larger wheel is twice the width of the smaller wheel.
So, larger wheel shall have the same speed as the smaller wheel, since circumference depends on the radius not width.
S1- smaller wheel rotates at 3 meters per second.
Speed of larger wheel shall be same. Sufficient.

S2 - smaller wheel makes 10 rotations per second.
Larger wheel also rotates at same speed, but we cannot find speed in m/s since radius is not given.
Insufficient.
_________________
Please give kudos, if you like my post

When the going gets tough, the tough gets going...
Manager
Joined: 04 Oct 2017
Posts: 81
Re: If a bicycle has two wheels one twice as wide as the other, at how man  [#permalink]

### Show Tags

14 Nov 2018, 07:50
chetan2u wrote:
Bunuel wrote:
If a bicycle has two wheels one twice as wide as the other, at how many meters per second does the larger wheel rotate?

(1) The smaller wheel rotates at 3 meters per second.
(2) The smaller wheel makes 10 rotations per second.

We are looking at speed in terms of m/s..
Twice wide would mean twice the dia and so twice the radius..
So $$r_s*2=r_l$$
Now the distance covered will be in terms of the circumference and the circumference of larger will be twice the circumference of smaller so if we are looking at ROTATION per minute, larger will have HALF the rotation..

But here we are asked mps and since the distance traveled in a certain time would be same for the two wheels, the mps would be SAME

(1) The smaller wheel rotates at 3 meters per second.
So larger too is 3mps
Sufficient

(2) The smaller wheel makes 10 rotations per second
We can just say larger wheel makes 5 rotations per second. But nothing about radius, so
Insufficient

A

Hi, The distance travelled is the same but the time taken is different. I can't understand. Can you please elaborate???
Re: If a bicycle has two wheels one twice as wide as the other, at how man   [#permalink] 14 Nov 2018, 07:50
Display posts from previous: Sort by