Final answer:
An ant walking 3 inches per second can travel approximately 4.1 miles in a day without breaks. This calculation involves converting the ant's speed to miles per day and then multiplying by the number of seconds in a day.
Step-by-step explanation:
The question relates to the concept of calculating distance using speed and time, which falls under the subject of Mathematics. Specifically, we are asked to determine how far an ant can travel in miles per day without taking a break if it walks at a speed of 3 inches per second.
To solve this, we'll need to convert inches per second to miles per day. There are 63,360 inches in a mile (since there are 5,280 feet in a mile and 12 inches in a foot). We also know there are 86,400 seconds in a day (since there are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day).
First, calculate the ant's speed in miles per hour:
3 inches/second * (1 mile/63,360 inches) * (86,400 seconds/day) = 4.089 miles/day.
Therefore, the ant can travel approximately 4.1 miles per day without taking a break, which corresponds to option d.