To address your question, we shall break it down into multiple parts for clarity. The main task is to find the internet download speed and then use that speed to calculate how long it takes to download a file of size 1.8 GB.
### Step 1: Calculate the download speed
First, we are given that the computer can download 250 megabytes (MB) in 25 seconds. To find the download speed in megabytes per second (MB/s), we use the formula:
[tex]\[ \text{Download speed} = \frac{\text{Amount of data}}{\text{Time taken}} \][/tex]
Substituting the given values:
[tex]\[ \text{Download speed} = \frac{250 \text{ MB}}{25 \text{ seconds}} \][/tex]
[tex]\[ \text{Download speed} = 10 \text{ MB/s} \][/tex]
So, the download speed of the internet is 10 MB per second.
### Step 2: Convert gigabytes to megabytes
We need to convert the size of the whole file from gigabytes (GB) to megabytes (MB) since our download speed is in MB/s. We know that:
[tex]\[ 1 \text{ GB} = 1000 \text{ MB} \][/tex]
Given the file size is 1.8 GB:
[tex]\[ \text{File size in MB} = 1.8 \text{ GB} \times 1000 \text{ MB/GB} = 1800 \text{ MB} \][/tex]
### Step 3: Calculate the time to download the whole file
Now that we have the file size in MB and the download speed in MB/s, we can calculate the time it will take to download the file using the formula:
[tex]\[ \text{Time to download} = \frac{\text{File size}}{\text{Download speed}} \][/tex]
Substituting the values we obtained:
[tex]\[ \text{Time to download} = \frac{1800 \text{ MB}}{10 \text{ MB/s}} \][/tex]
[tex]\[ \text{Time to download} = 180 \text{ seconds} \][/tex]
### Summary of Results
- The download speed of the internet is 10 MB per second.
- The time to download the entire file of size 1.8 GB is 180 seconds.
By going through these steps methodically, we arrive at the required results.
