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	-----	$7:3$

If the number of local packages handled at hub U is 18 more than the number of local packages handled at hub X and the ratio of local to express packages handled at hub U is 3:2, then find the total number of express packages handled at hub U.

The correct answer is 60.

Step 1: Calculate the total number of packages handled at hub X.

From the table provided in the problem:

Total delivery vehicles operating from hub X = 15
Average number of packages carried per vehicle at hub X = 8

The total number of packages handled at hub X is calculated by multiplying the total delivery vehicles by the average packages per vehicle:

$\text{Total packages at hub X}=15\times 8=120$

Step 2: Calculate the number of local packages handled at hub X.

The ratio of local packages to express packages handled by hub X is given as 3 : 2.

Total ratio parts = 3 + 2 = 5 parts.

The number of local packages handled at hub X is:

$\text{Local packages at hub X}=\frac{3}{5}\times 120=72$

Step 3: Calculate the number of local packages handled at hub U.

It is given that the number of local packages handled at hub U is 18 more than the number of local packages handled at hub X:

$\text{Local packages at hub U}=72+18=90$

Step 4: Calculate the total number of express packages handled at hub U.

The ratio of local to express packages handled at hub U is 3 : 2.

Let the number of local packages be 3x and the number of express packages be 2x.

Since the number of local packages at hub U is 90:

$3x=90$

$x=\frac{90}{3}=30$

Now, calculate the number of express packages handled at hub U (2x):

$\text{Express packages at hub U}=2x=2\times 30=60$

Therefore, the total number of express packages handled at hub U is 60.