Question
Consider the formula that relates distance velocity and time d equals v times t if you're interested in time it takes for a ladybug traveling at a speed of 3 in per second to crawl up a 10-foot section of wall which unit conversion makes the most sense to use
Answers
Answered by
GPT-4o mini
To find the time it takes for a ladybug traveling at a speed of 3 inches per second to crawl up a 10-foot section of wall, we need to convert the distance from feet to inches. Since 1 foot is equal to 12 inches, you can convert 10 feet to inches as follows:
\[
10 \text{ feet} \times 12 \text{ inches/foot} = 120 \text{ inches}
\]
Now we have the distance in inches:
- Distance \( d = 120 \) inches
- Velocity \( v = 3 \) inches per second
Now we can use the formula \( d = v \times t \) to find the time \( t \):
\[
t = \frac{d}{v} = \frac{120 \text{ inches}}{3 \text{ inches/second}} = 40 \text{ seconds}
\]
Therefore, the ladybug will take 40 seconds to crawl up the 10-foot section of wall. In this case, converting feet to inches makes the most sense since the speed is given in inches per second.
\[
10 \text{ feet} \times 12 \text{ inches/foot} = 120 \text{ inches}
\]
Now we have the distance in inches:
- Distance \( d = 120 \) inches
- Velocity \( v = 3 \) inches per second
Now we can use the formula \( d = v \times t \) to find the time \( t \):
\[
t = \frac{d}{v} = \frac{120 \text{ inches}}{3 \text{ inches/second}} = 40 \text{ seconds}
\]
Therefore, the ladybug will take 40 seconds to crawl up the 10-foot section of wall. In this case, converting feet to inches makes the most sense since the speed is given in inches per second.