Answer:
It will take 3.6 hours to wax a car if they work together.
Step-by-step explanation:
Calvin one hour work = [tex]\frac{1}{3}[/tex]
Alvin one hour work = [tex]\frac{1}{5}[/tex]
To find out how much they can do together per hour,
We have to add [tex]\frac{1}{3}[/tex] and [tex]\frac{1}{5}[/tex]
= [tex]\frac{1}{3} + \frac{1}{5} = \frac{(5 + 3)}{15}[/tex]
= [tex]\frac{8}{15}[/tex] --------------(1)
They can do [tex]\frac{8}{15}[/tex] of the job per hour.
If "t" is the time taken to finish the job together, then one hour work
[tex]\frac{1}{t}[/tex] ------------------------(2)
Now we have to find the value of "t" by setting the expression (1) and (2) equal.
[tex]\frac{8}{15} = \frac{1}{t}[/tex]
It can solve by flipping the equation;
[tex]\frac{t}{1} = \frac{18}{5}[/tex]
t = 3.6 hours
It will take 3.6 hours to wax a car if they work together.
