Question Details

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.

Find the total number of staff in Hub Y.

Options

A

100

B

95

C

85

D

80

E

75

Show Answer

Correct Answer :

Option C

85

Solution :

The correct answer is 85.

Let us analyze the given information step-by-step to calculate the total staff in Hub Y.

Step 1: Find the total staff in Hub Z
We are given that the combined total staff in Hub X is 80.
Total staff in Hub Z is 10 more than total staff in Hub X:
Total staff in Hub Z=80+10=90

Step 2: Calculate the number of loaders and drivers in Hub Z
Let the number of drivers in Hub Z be DZ and the number of loaders in Hub Z be LZ.
We are given that the total number of loaders in Hub Z is 10 less than the total number of drivers:
LZ=DZ-10
Since the total staff in Hub Z is 90:
LZ+DZ=90
(DZ-10)+DZ=90
2DZ-10=90
2DZ=100
DZ=50
Now, find the number of loaders in Hub Z:
LZ=50-10=40

Step 3: Calculate loaders in Hub Y and drivers in Hub X
The total number of loaders in Hub Y is 5 more than the total number of loaders in Hub Z:
LY=40+5=45
The total number of drivers in Hub X is 25 less than the total number of loaders in Hub Y:
DX=45-25=20

Step 4: Calculate drivers in Hub Y
The total number of drivers across all three hubs is 110:
DX+DY+DZ=110
20+DY+50=110
70+DY=110
DY=110-70=40

Step 5: Calculate total staff in Hub Y
Total staff in Hub Y is the sum of loaders and drivers in Hub Y:
Total staff in Hub Y=LY+DY=45+40=85

Thus, the total number of staff in Hub Y is 85.

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