Answer:
[tex]\frac{10}{7}[/tex] hours
Step-by-step explanation:
We can let "x" be the number of hours
We can write 2 equations for the 2 companies and then equate them to find the time (hour) it will take for them to be equal.
Company 1:
30 fixed
plus
18 per hour for x hours = 18x
Equation = 30 + 18x
Company 1:
20 fixed
plus
25 per hour for x hours = 25x
Equation = 20 + 25x
Now we equate and find x:
[tex]30+18x=20+25x\\30-20=25x-18x\\10=7x\\x=\frac{10}{7}[/tex]
So it will take [tex]\frac{10}{7}[/tex] hours for them to be equal
