Question
Sammy wants to calculate the time it takes for a ladybug traveling at a speed of 3 inches (in.) per second (sec.) to crawl a distance of 10 feet (ft.).
Starting with the formula d=rt, Sammy rearranges the formula to highlight time, t, as the quantity of interest. Solve the rest of the equation
Starting with the formula d=rt, Sammy rearranges the formula to highlight time, t, as the quantity of interest. Solve the rest of the equation
Answers
GPT-4o mini
To rearrange the formula \( d = rt \) to isolate time \( t \), we start with the formula:
\[ d = rt \]
To solve for \( t \), we divide both sides of the equation by \( r \):
\[ t = \frac{d}{r} \]
Now, we need to ensure that the units are compatible. We have the distance \( d \) in feet and the speed \( r \) in inches per second. First, we convert the distance from feet to inches.
Since 1 foot is equal to 12 inches, we can convert 10 feet to inches:
\[ 10 \text{ ft} \times 12 \text{ in/ft} = 120 \text{ in} \]
Now we substitute \( d = 120 \text{ in} \) and \( r = 3 \text{ in/sec} \) into the equation for \( t \):
\[
t = \frac{120 \text{ in}}{3 \text{ in/sec}}
\]
Now we divide:
\[
t = 40 \text{ sec}
\]
So, the ladybug will take **40 seconds** to crawl a distance of 10 feet.
\[ d = rt \]
To solve for \( t \), we divide both sides of the equation by \( r \):
\[ t = \frac{d}{r} \]
Now, we need to ensure that the units are compatible. We have the distance \( d \) in feet and the speed \( r \) in inches per second. First, we convert the distance from feet to inches.
Since 1 foot is equal to 12 inches, we can convert 10 feet to inches:
\[ 10 \text{ ft} \times 12 \text{ in/ft} = 120 \text{ in} \]
Now we substitute \( d = 120 \text{ in} \) and \( r = 3 \text{ in/sec} \) into the equation for \( t \):
\[
t = \frac{120 \text{ in}}{3 \text{ in/sec}}
\]
Now we divide:
\[
t = 40 \text{ sec}
\]
So, the ladybug will take **40 seconds** to crawl a distance of 10 feet.