Read the given information carefully and answer the question that follows.

The data below provides details about two categories of staff (loaders and drivers) across three logistics hubs: Hub X, Hub Y, and Hub Z.
For Hub X – the combined total of loaders and drivers is 80.
For Hub Y – the total number of loaders is 5 more than the total number of loaders in Hub Z.
For Hub Z – the total number of loaders is 10 less than the total number of drivers.
Note – the total number of drivers in Hub X is 25 less than the total number of loaders in Hub Y.
Total staff in Hub Z is 10 more than total staff in Hub X, and the total number of drivers across all three hubs is 110.

Determine the ratio of the total number of drivers in Hub Y to the total number of loaders in Hub X.

The correct answer is 2:3.

Step-by-step derivation:

1. Hub X Staff:
The combined total number of loaders and drivers in Hub X is 80.

${\text{Loaders}}_{\text{X}}+{\text{Drivers}}_{\text{X}}=80$

2. Hub Z Staff:
The total staff in Hub Z is 10 more than the total staff in Hub X.

${\text{Total Staff}}_{\text{Z}}=80+10=90$

In Hub Z, the total number of loaders is 10 less than the total number of drivers:

${\text{Loaders}}_{\text{Z}}={\text{Drivers}}_{\text{Z}}-10$

Since total staff is the sum of loaders and drivers:

${\text{Loaders}}_{\text{Z}}+{\text{Drivers}}_{\text{Z}}=90$

Substituting ${\text{Loaders}}_{\text{Z}}$ in terms of ${\text{Drivers}}_{\text{Z}}$:

$({\text{Drivers}}_{\text{Z}}-10)+{\text{Drivers}}_{\text{Z}}=90$

$2\times {\text{Drivers}}_{\text{Z}}-10=90$

$2\times {\text{Drivers}}_{\text{Z}}=100$

${\text{Drivers}}_{\text{Z}}=50$

Now, calculating the number of loaders in Hub Z:

${\text{Loaders}}_{\text{Z}}=50-10=40$

3. Hub Y Loaders:
The number of loaders in Hub Y is 5 more than the number of loaders in Hub Z:

${\text{Loaders}}_{\text{Y}}=40+5=45$

4. Hub X Drivers and Loaders:
The total number of drivers in Hub X is 25 less than the total number of loaders in Hub Y:

${\text{Drivers}}_{\text{X}}=45-25=20$

Since the combined total staff in Hub X is 80:

${\text{Loaders}}_{\text{X}}=80-20=60$

5. Hub Y Drivers:
The total number of drivers across all three hubs is 110:

${\text{Drivers}}_{\text{X}}+{\text{Drivers}}_{\text{Y}}+{\text{Drivers}}_{\text{Z}}=110$

$20+{\text{Drivers}}_{\text{Y}}+50=110$

${\text{Drivers}}_{\text{Y}}+70=110$

${\text{Drivers}}_{\text{Y}}=40$

6. Finding the required ratio:
The ratio of the total number of drivers in Hub Y to the total number of loaders in Hub X is:

$\text{Ratio}=\frac{{\text{Drivers}}_{\text{Y}}}{{\text{Loaders}}_{\text{X}}}=\frac{40}{60}=\frac{2}{3}$

Thus, the required ratio is 2:3.