Answer :
Answer:
125 minutes
Explanation:
Let's call x, the number of hours that Marco drove from home to work and y the number of hours that Marco drove from work to home.
The total time is 4 hours, so we can write the following equation:
x + y = 4
Additionally, the distance from home to work and from work to home is the same, so using the speed, we can write the following equation:
50x = 46y
Where 50x is the distance in miles from home to work and 46y is the distance in miles from work to home.
Now, we can solve for x in the first equation:
[tex]\begin{gathered} x+y=4 \\ x=4-y \end{gathered}[/tex]Replacing it on the second equation a solving for y, we get:
[tex]\begin{gathered} 50(4-y)=46y \\ 50\cdot4-50\cdot y=46y \\ 200-50y=46y \\ 200=46y+50y \\ 200=96y \\ \frac{200}{96}=y \\ \frac{25}{12}=y \end{gathered}[/tex]It means that Marco drove 25/12 hours from work to home. Now, we need to write those hours in minutes, so:
[tex]\frac{25}{12}\text{hour}\cdot\frac{60\text{ minutes}}{1\text{ hour}}=\frac{25\cdot60}{12}\text{ minutes = 125 minutes}[/tex]So, Marco drive from work to home 125 minutes