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What is the number of 360-degree rotations that a bicycle wheel made

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What is the number of 360-degree rotations that a bicycle wheel made  [#permalink]

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New post 02 Sep 2018, 21:52
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Question Stats:

80% (00:51) correct 20% (00:44) wrong based on 15 sessions

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What is the number of 360-degree rotations that a bicycle wheel made while rolling in a straight line without slipping on a 10 minute journey?

(1) Each wheel was rotating at an average rate of 6 rotations per second.
(2) The total travel distance was 1 km.

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Re: What is the number of 360-degree rotations that a bicycle wheel made  [#permalink]

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New post 03 Sep 2018, 03:01
Bunuel wrote:
What is the number of 360-degree rotations that a bicycle wheel made while rolling in a straight line without slipping on a 10 minute journey?

(1) Each wheel was rotating at an average rate of 6 rotations per second.
(2) The total travel distance was 1 km.


Total Distance travelled by a wheel in t time = Number of revolutions in t * Distance travelled in 1 revolution * t

Question : What is the number of 360-degree rotations that a bicycle wheel made while rolling in a straight line without slipping on a 10 minute journey?

so t = 10 mins
We further need,
1) Rate of Number of revolutions made in specific time or
2) Radius of the wheel to calculate the distance travelled in one revolution which is equal to circumference 2πr and Distance travelled in 10 mins


Statement 1: Each wheel was rotating at an average rate of 6 rotations per second.

This satisfies our first requirement i.e. number of revolutions in 10 mins = 6*60*10 = 3600 revolutions hence

SUFFICIENT

Statement 2: The total travel distance was 1 km

But we don't know how much distance is travelled by wheel in 1 revolution hence

NOT SUFFICIENT

Answer : Option A
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What is the number of 360-degree rotations that a bicycle wheel made  [#permalink]

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New post 03 Sep 2018, 03:10
Bunuel wrote:
What is the number of 360-degree rotations that a bicycle wheel made while rolling in a straight line without slipping on a 10 minute journey?

(1) Each wheel was rotating at an average rate of 6 rotations per second.
(2) The total travel distance was 1 km.



time -10 minutes
(1) Each wheel was rotating at an average rate of 6 rotations per second.
10*60*6=3600 rotations in 10 minutes
sufficient

(2) The total travel distance was 1 km.
we do not have any value of radius ( using which we can find circumference)
or number of rotations given in option 1
so insufficient

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Re: What is the number of 360-degree rotations that a bicycle wheel made  [#permalink]

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New post 03 Sep 2018, 03:25
Option A

Second statement in irrelevant since the circumference nor the radius us provided.

First statement gives no. Of rotations per second. Using which for a min and thus 10 mins can be calculated

Hence only A is enough

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Re: What is the number of 360-degree rotations that a bicycle wheel made &nbs [#permalink] 03 Sep 2018, 03:25
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