Question
Real Tutor Solution
Tutor-Verified Answer
Answer
The ratio is 1:6.
Solution
To solve the ratio \( 20 \text{ seconds} : 2 \text{ minutes} = 1 : x \), follow these steps:
1. **Convert Units to the Same Measurement:**
- Since 2 minutes = 120 seconds, the ratio becomes:
\[
20 \text{ seconds} : 120 \text{ seconds} = 1 : x
\]
2. **Simplify the Ratio:**
- Divide both parts of the ratio by 20:
\[
\frac{20}{120} = \frac{1}{x} \implies \frac{1}{6} = \frac{1}{x}
\]
3. **Solve for \( x \):**
- \( x = 6 \)
**Final Answer:**
The ratio is \( 1 : 6 \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To solve the proportion of 20 seconds to 2 minutes, we first need to convert 2 minutes into seconds. Since 1 minute equals 60 seconds, 2 minutes equal 120 seconds. Now we can set up the ratio: 20 seconds : 120 seconds = 1 : 6. So, the answer is 1:6! This ratio tells us that for every 1 part of 20 seconds, there are 6 parts of 20 seconds in 2 minutes, making it easy to see how these time intervals compare. Time ratios can be really useful in real-world scenarios, like timing events, scheduling, and managing activities efficiently.
