A military quartermaster is evaluating the transit times of four different supply routes t… — Armed Services Vocational Aptitude Battery (ASVAB)

A military quartermaster is evaluating the transit times of four different supply routes to an outpost. Arrange the transit times from shortest to longest.

1Route Y: $1$ hour and $22$ minutes
2Route W: $1.4$ hours
3Route X: $5,100$ seconds
4Route Z: $1\frac{1}{2}$ hours

Answer

The correct order from shortest to longest is: Route Y, Route W, Route X, Route Z.

By converting all durations into minutes, we can compare them accurately. Route Y takes 82 minutes, Route W takes 84 minutes, Route X takes 85 minutes, and Route Z takes 90 minutes. Placing these values in ascending mathematical order gives the correct sequence.

Step-by-Step Solution

Identify a common unit for comparison.

Minutes is chosen as the standard unit for all conversions.

Converting all times to a single unit prevents errors when comparing mixed formats.

Convert the duration of Route Y to minutes.

1

hour +

22

minutes =

60 + 22 = 82

minutes.

There are

60

minutes in an hour, so we add

60

to the remaining

22

minutes.

Convert the duration of Route W to minutes.

1.4 \times 60 = 84

minutes.

Decimal hours are converted to minutes by multiplying the decimal value by

60

Convert the duration of Route X to minutes.

5,100 \div 60 = 85

minutes.

Because there are

60

seconds in a minute, we divide the total seconds by

60

Convert the duration of Route Z to minutes.

1.5 \times 60 = 90

minutes.

Fractional hours (

1\frac{1}{2}

hours is

1.5

hours) are multiplied by

60

Arrange the converted times in ascending order.

82

minutes (Route Y),

84

minutes (Route W),

85

minutes (Route X),

90

minutes (Route Z).

The question specifically asks for the transit times from shortest to longest.

Key Concept

Converting various time formats (decimal hours, fractional hours, seconds, and mixed units) into a standard unit for objective numerical comparison.

Question

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