Relative to a group of other airlines, an airlines degree of

Question

https://gmatclub.com/forum/download/file.php?id=31846 Relative to a group of other airlines, an airline’s degree of competition, c, for daily flights from City X to Destination Y is given by the formula c=\frac{T}{f}+\frac{n}{4} , where the airline has f daily flights from City X to Destination Y, n of the other airlines in the group each have at least 1 daily flight from City X to Destination Y, and these n airlines have a combined total of T daily flights from City X to Destination Y. According to the table above, what is Airline A’s degree of competition, relative to Airlines B, C, and D, for daily flights from City X to Los Angeles? (A) 1 (B) 5/4 (C) 7/4 (D) 2 (E) 9/4 PS15727 number of daily flights from city x.JPG

EMPOWERgmatRichC · Answer

Hi felippemed,

To start, we'll need the 5 answer choices for reference:

A) 1 
B) 5/4 
C) 7/4 
D) 2 
E) 9/4

This question is essentially a "symbolism" question (albeit with an equation instead of a symbol): you're told what each variable in the equation "means" and then we're asked to do a simple calculation using data from a table:

We're given the equation: T/F + N/4

We're told to calculate (using that equation) for Airline A and Los Angeles. So, we just have to pull data from the table and plug in the numbers:

F = number of flights that Airline A has to Los Angeles 
F = 4 
N = number of OTHER airlines with at least 1 flight to Los Angles. 
N = 3 
T = combined flights to Los Angeles from the other airlines 
T = 5

Now, plug in:

5/4 + 3/4 = 8/4 = 2

Final Answer:  D

GMAT assassins aren't born, they're made, 
Rich

rudra316 · Answer

From the Data we have 
f = 4;
T = 5; 
n = 3; 
Substituting in the equation for degree of competition, 
c =  \frac{5}{4} + \frac{3}{4} 
c = 2

BradyMVP · Answer

Rich, why do we use 3 for N and not 4? Not sure I am following that

EMPOWERgmatRichC · Answer

Hi BradyMVP,

The prompt gives us a specific definition for each of the variables involved - and that we can define an airline's "degree of competition (C)" using those variables.

We're asked to find the value of "C" for Airline A. The prompt tells us the value of "N" is equal to the total number of OTHER airlines that fly to the same city. Since Airline A flies to Los Angeles - and we're calculating the level of competition for Airline A - we should NOT include that airline as part of the value of N. Based on the data in the table, we can see that Airlines B, C and D all fly to Los Angeles; that's a total of 3 OTHER cities, so the value of N = 3.
 
GMAT assassins aren't born, they're made,
Rich

DanTheGMATMan · Answer

Annoying question but just sort out what each variable equals:

https://www.youtube.com/watch?v=VuBa3hnhpAA

Gemmie · Answer

c = \frac{T}{f} + \frac{n}{4}

n: number of other airlines also has same route X - LA ==> n = 3
f: A's number of flights => f = 4
T: number of flights of the n airlines => T = 2 + 2 + 1  = 5

c_A = \frac{5}{4} + \frac{3}{4} = \frac{8}{4} = 2

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Relative to a group of other airlines, an airlines degree of

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