The speed of an ant is $75\text{cm/sec}$. The distance the ant travels in a day is

Let's find the total number of seconds in $1$ day:
$$1\text{day}=24\text{hours}\times 60\text{minutes}\times 60\text{seconds}=86,400\text{seconds}$$

The speed of the ant is $75\text{cm/sec}$. The distance covered in centimeters is:

$$\text{Distance}=\text{Speed}\times \text{Time}=75\text{cm/sec}\times 86,400\text{sec}=6,480,000\text{cm}$$

Now, let's convert centimeters to meters ($1\text{meter}=100\text{centimeters}$):

$$\text{Distance}=\frac{6,480,000}{100}=64,800\text{meters}$$

Thus, the distance traveled in a day is **$64800\text{m/day}$ **.