Enter your answer and show all the steps that you use to solve this problem in the space provided.
It takes Pam 45 minutes to drive to work and 60 minutes to drive home from work. Write the ratio of the time Pam spends driving home from work to the time she spends driving to work in three different ways.
60:45
4/3
...
help me
To write the ratio of the time Pam spends driving home from work to the time she spends driving to work, we need to determine the durations of each trip separately and then express the ratio in three different ways.
Step 1: Determine the duration of Pam's drive to work.
Given that Pam takes 45 minutes to drive to work.
Step 2: Determine the duration of Pam's drive home from work.
Given that Pam takes 60 minutes to drive home from work.
Step 3: Calculate the ratio of the time Pam spends driving home from work to the time she spends driving to work.
- Method 1: Write the ratio in the form of a fraction.
The ratio can be expressed as 60/45.
- Method 2: Simplify the ratio fraction.
To simplify the ratio fraction 60/45, divide both the numerator and denominator by their greatest common divisor (GCD), which is 15.
60 ÷ 15 = 4
45 ÷ 15 = 3
Thus, the simplified ratio is 4/3.
- Method 3: Write the ratio using the colon symbol.
The ratio can be expressed as 4:3.
Therefore, the three different ways of writing the ratio of the time Pam spends driving home from work to the time she spends driving to work are:
- Method 1: 60/45
- Method 2: 4/3
- Method 3: 4:3
To find the ratio of the time Pam spends driving home from work to the time she spends driving to work, we can use the formula:
Ratio = Home from work time / To work time
First, let's calculate the time Pam spends driving home from work:
Pam spends 60 minutes driving home from work.
Now, let's calculate the time Pam spends driving to work:
Pam spends 45 minutes driving to work.
Now let's write the ratio in three different ways:
1) Time driving home from work to time driving to work:
Ratio = 60 minutes / 45 minutes
2) Time driving home from work to time driving to work, expressed as a fraction:
Ratio = 60/45
3) Time driving home from work to time driving to work, simplified as a simplified fraction:
Ratio = 4/3