Question
4. Which distance is longer? A: 4 feet/second for a minute or B: 3 inches/min for an hour
Ask by Page Medina. in the United States
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Option A is longer.
Solution
1. For Option A, the speed is \(4 \text{ ft/s}\) and the time is \(60\) seconds. The distance is calculated as:
\[
\text{Distance}_A = 4 \times 60 = 240 \text{ feet}
\]
2. For Option B, the speed is \(3 \text{ inches/min}\) and the time is \(60\) minutes. The distance in inches is:
\[
\text{Distance}_{B,\text{in}} = 3 \times 60 = 180 \text{ inches}
\]
Converting inches to feet (since \(12\) inches = \(1\) foot):
\[
\text{Distance}_B = \frac{180}{12} = 15 \text{ feet}
\]
3. Comparing the two distances:
\[
\text{Distance}_A = 240 \text{ feet} \quad \text{vs} \quad \text{Distance}_B = 15 \text{ feet}
\]
Thus, Option A is longer.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
If we convert both distances into the same unit, we'll see that A is the winner! In one minute, if you move at 4 feet per second, you'll cover 240 feet (4 feet x 60 seconds). On the other hand, moving at 3 inches per minute for an hour, you'll only travel 180 inches, which is just 15 feet. So, clearly, A takes the trophy for distance covered! Next time you're racing against the clock, remember this: sometimes speed really does matter! Just be sure to convert your units properly before making any conclusions! Whether it's about foot races or even car speeds, a little math can make all the difference!
