Directions: Study the table given below carefully and answer the question that follows.

The table displays information regarding five regional logistics hubs (V, W, X, Y, and Z), detailing the total number of delivery vehicles operating from each hub, the average number of packages carried per vehicle, and the ratio of local packages to express packages handled by each hub.

Note: The average number of packages carried per vehicle at hub Z is the same as the average number of packages carried per vehicle at hub V.

Logistics Hub	Total delivery vehicles	Average number of packages per vehicle	Local : Express
V	20	12	$5:3$
W	24	15	$2:1$
X	15	8	$3:2$
Y	18	10	$5:4$
Z	25	-----	$7:3$

Find the ratio of the number of local packages handled by logistics hub V to the number of express packages handled by logistics hub W.

The correct option is 5:4.

Step-by-step Explanation:

Step 1: Calculate the number of local packages handled by logistics hub V.

From the table, for logistics hub V:

Total number of delivery vehicles = 20

Average number of packages per vehicle = 12

Total packages handled by hub V =

$20\times 12=240$

The ratio of Local packages to Express packages for hub V is 5 : 3.

Sum of the ratio terms =

$5+3=8$

Number of local packages handled by hub V =

$\frac{5}{8}\times 240=150$

Step 2: Calculate the number of express packages handled by logistics hub W.

From the table, for logistics hub W:

Total number of delivery vehicles = 24

Average number of packages per vehicle = 15

Total packages handled by hub W =

$24\times 15=360$

The ratio of Local packages to Express packages for hub W is 2 : 1.

Sum of the ratio terms =

$2+1=3$

Number of express packages handled by hub W =

$\frac{1}{3}\times 360=120$

Step 3: Determine the required ratio.

We need to find the ratio of local packages handled by hub V to express packages handled by hub W:

$\text{Required Ratio}=150:120$

Simplifying the ratio by dividing both numbers by 30:

$150:120=5:4$

Thus, the required ratio is 5:4.