Answer:
48 minutes
Step-by-step explanation:
Given that;
Rosalinda can line the football field in 80 minutes
Reggie can line the football field in 120 minutes
Lets assume that if they work together, they will take T minutes to line the football field
Hence;
Thus in 1 minute, Rosalina can line 1/80 of the field where as Reggie can line 1/120 of the field
[tex]\frac{1}{T} =\frac{1}{120} +\frac{1}{80} \\\\\frac{1}{T} =\frac{2+3}{240}\\\\[/tex]
The sum of the two fractions will represent the size of the field that can be lined in 1 minute.
[tex]\frac{1}{T} =\frac{5}{240} \\\\\frac{1}{T} =\frac{1}{48} \\T= 48[/tex]
The reciprocal of the sum of the two fractions will represent the time taken for both Rosalinda and Reggie to line the field.
Answer ; It will take them 48 minutes for them to line the football field
Answer:
48 minutes
Step-by-step explanation:
Reggie can line 1/120 of a football field in 1 minute while Rosalinda can line 1/80 of a football field in 1 minute.
Therefore adding the 2 fractions we get; that BOTH of them can line 1/120+1/80 of a field in 1 minute. 1/120+1/80=1/48.
1/48 of a field can be done in a minute, so it would take them 48 minutes to do 48/48 or 1 whole field.
