A technician spends 2 hours diagnosing a communications system and 30 minutes completing t… — Armed Services Vocational Aptitude Battery (ASVAB)

A technician spends $2$ hours diagnosing a communications system and $30$ minutes completing the repair. What is the ratio of the time spent diagnosing to the time spent repairing?

$4:1$ Cevap
B
$1:15$
C
$1:4$
D
$4:5$

Cevap

The correct ratio is

4:1

To find the correct ratio, both times must be expressed in the same unit. Converting

2

hours gives

120

minutes. The requested ratio of diagnosing time to repairing time is

120:30

. Dividing both numbers by their greatest common divisor (

30

) yields the simplest form,

4:1

Adım Adım Çözüm

Convert the diagnosing time to the same unit as the repair time.

2

hours =

2 \times 60

minutes =

120

minutes.

Ratios must compare quantities in the same units to be mathematically meaningful.

Set up the ratio of diagnosing time to repair time.

120

minutes :

30

minutes

The question specifically asks for the ratio of diagnosing time first, followed by repair time.

Simplify the ratio to its lowest terms.

120 : 30 = 4 : 1

Divide both parts of the ratio by their greatest common divisor, which is

30

Anahtar Kavram

To find a ratio between two real-world quantities, ensure they share the same units, express their relationship in the exact order requested, and simplify.

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

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