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Question

Difficulty: EasyBasic Ratios

A technician spends 22 hours diagnosing a communications system and 3030 minutes completing the repair. What is the ratio of the time spent diagnosing to the time spent repairing?

  1. 4:14:1Answer
  2. B
    1:151:15
  3. C
    1:41:4
  4. D
    4:54:5

Answer

The correct ratio is 4:14:1.
To find the correct ratio, both times must be expressed in the same unit. Converting 22 hours gives 120120 minutes. The requested ratio of diagnosing time to repairing time is 120:30120:30. Dividing both numbers by their greatest common divisor (3030) yields the simplest form, 4:14:1.

Step-by-Step Solution

1
Convert the diagnosing time to the same unit as the repair time.
22 hours = 2×602 \times 60 minutes = 120120 minutes.
Ratios must compare quantities in the same units to be mathematically meaningful.
2
Set up the ratio of diagnosing time to repair time.
120120 minutes : 3030 minutes
The question specifically asks for the ratio of diagnosing time first, followed by repair time.
3
Simplify the ratio to its lowest terms.
120:30=4:1120 : 30 = 4 : 1
Divide both parts of the ratio by their greatest common divisor, which is 3030.

Key Concept

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.
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Topics

Basic Ratios

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