Answer:
The answer to your question is : 80 minutes
Step-by-step explanation:
Data
Mark = 120 minutes
Alexis = 240 minutes
Together = ??
We need to write an equation, we consider that in 1 minute, Mark loads 1/120 and Alexis 1/240. Then the equation is:
1 = x/120 + x/240 1 = truck uploaded ; x = time in minutes
Solve it 1 = (2x + x) /240
240 = 3x
x = 240/3
x = 80 minutes
The Mark and Alexis work together will take to load all of the packages is 80 minutes.
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Mark can load a truck with packages = 120 minutes
Mark's rate of work = [tex]\frac{1}{120}[/tex]
Alexis can load a truck with packages = 240 minutes
Alexis's rate of work = [tex]\frac{1}{240}[/tex]
Rate of work together by Mark and Alexis is
⇒ [tex]\frac{1}{120}+\frac{1}{240}[/tex]
⇒ [tex]\frac{2}{240}+\frac{1}{240}[/tex]
⇒ [tex]\frac{3}{240}[/tex]
⇒ [tex]\frac{1}{80}[/tex]
Thus Mark and Alexis work together will take to load all of the packages is [tex]\frac{1}{\frac{1}{80} }[/tex]
⇒ [tex]80[/tex]
Hence we can conclude that the Mark and Alexis work together will take to load all of the packages is 80 minutes.
Learn more about word problems here
brainly.com/question/20594903
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