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The figure above represents a system of roads

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The figure above represents a system of roads  [#permalink]

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New post Updated on: 01 Jul 2017, 00:13
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Difficulty:

  35% (medium)

Question Stats:

71% (01:09) correct 29% (01:03) wrong based on 216 sessions

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The figure above represents a system of roads along which traffic flows in the direction indicated by the arrows. If the traffic were to split evenly at each fork of
the road system, what percent of the traffic entering fork Z would exit at Y?

A. 87.5%
B. 75%
C. 62.5%
D. 50%
E. 12.5%

How to solve this question?

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Originally posted by NandishSS on 26 Jul 2016, 07:54.
Last edited by abhimahna on 01 Jul 2017, 00:13, edited 1 time in total.
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Re: The figure above represents a system of roads  [#permalink]

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New post 26 Jul 2016, 10:17
2
NandishSS wrote:
The figure above represents a system of roads along which traffic flows in the direction indicated by the arrows. If the traffic were to split evenly at each fork of
the road system, what percent of the traffic entering fork C would exit at Y?

A. 87.5%
B. 75%
C. 62.5%
D. 50%
E. 12.5%

How to solve this question?


The questions says traffic flow is spread evenly. That means, we have to divide the traffic along the two branches equally.

Lets say we have 100% traffic, we first slipt it into two as we have two branches at Z.

The lower branch will take the complete traffic towards Y. So, 50% of the traffic is coming towards Y via lower branch.

Now, the upper branch is further divided into two. So half of what it was carrying(50%) = 25 % would be be long each of those branches of upper branch. Now , the out of these two there is a further split in which one branch is towards Y and the other towards X. Thus, X will carry only 12.5% of the traffic while Y will carry another 12.5 from X along with the earlier 50% and 25%.

Thus, total traffic Y will carry is 87.5%. Hence , answer is A.
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Re: The figure above represents a system of roads  [#permalink]

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New post 01 Aug 2016, 22:04
NandishSS wrote:
The figure above represents a system of roads along which traffic flows in the direction indicated by the arrows. If the traffic were to split evenly at each fork of
the road system, what percent of the traffic entering fork C would exit at Y?

A. 87.5%
B. 75%
C. 62.5%
D. 50%
E. 12.5%

How to solve this question?


Quote:
Actually, I just carefully studied the diagram.
If you carefully see, there are only two arrows exiting from X. So, out of total number of arrows (19), only two exited from "X".
While the questions asks, what percentage WOULD exit from Y.
I simply calculated (2/19)* 100 ~~ (2/20)*100 = 10% exited from X
Remaining WOULD (might) exit from Y, which is 90 ~ (87.5%).

Experts, let me know if I am wrong.

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Re: The figure above represents a system of roads  [#permalink]

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New post 02 Aug 2016, 09:42
yosita18 wrote:
NandishSS wrote:
The figure above represents a system of roads along which traffic flows in the direction indicated by the arrows. If the traffic were to split evenly at each fork of
the road system, what percent of the traffic entering fork C would exit at Y?

A. 87.5%
B. 75%
C. 62.5%
D. 50%
E. 12.5%

How to solve this question?


Quote:
Actually, I just carefully studied the diagram.
If you carefully see, there are only two arrows exiting from X. So, out of total number of arrows (19), only two exited from "X".
While the questions asks, what percentage WOULD exit from Y.
I simply calculated (2/19)* 100 ~~ (2/20)*100 = 10% exited from X
Remaining WOULD (might) exit from Y, which is 90 ~ (87.5%).

Experts, let me know if I am wrong.



I am not sure why are you considering two arrows exiting from X. I believe arrows are used just to indicate the flow and nothing more than that.
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Re: The figure above represents a system of roads  [#permalink]

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New post 03 Aug 2016, 09:05
NandishSS wrote:
The figure above represents a system of roads along which traffic flows in the direction indicated by the arrows. If the traffic were to split evenly at each fork of
the road system, what percent of the traffic entering fork C would exit at Y?

A. 87.5%
B. 75%
C. 62.5%
D. 50%
E. 12.5%

How to solve this question?


Roads divide into two after leaving from Z.

50 % move downwards and 50% move upwards

If we notice all vehicles moving downwards will end up taking exit Y.

The upward moving vehicles divide at first junction in 25% (moving upwards ) and 25 % (moving downwards). Again if we notice all vehicles moving downwards will end up taking exit Y.

Vehicles moving upwards from this point again divide, leading to 12.5% moving upwards and 12.5% moving downwards, and these will take exit Y.

Total vehicles taking exit Y= 50% +25% +12.5%= 87.5%

A is the answer
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Re: The figure above represents a system of roads  [#permalink]

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New post 22 Jun 2017, 07:39
1/2+1/4+1/8

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Re: The figure above represents a system of roads  [#permalink]

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New post 21 Aug 2018, 03:22
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Re: The figure above represents a system of roads &nbs [#permalink] 21 Aug 2018, 03:22
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