Answer :
Answer:
7.5 hours
Explanation:
Let m = macro's work rate
Cliffs work rate = m/2 since macro does the work two times faster than cliff.
(M/2) + M = 5 hours
Solving for m , m = 7.5 hours.
Thus, it would take macros 7.5 hours working alone
The time that it would take Marco is 7.5 hours if he is working alone.
First of we have to define a variable t as Marco's work rate.
T = Rate of Marco
Secondly we have to define Cliff's work rate as T/2. This is because Marco is two times faster than he is is. Therefore Cliff's rate is half of Marco's
[tex]\frac{T}{2} = Work Rate of Cliff[/tex]
We add the rate of both of them
T/2 + T = 1/5
We find the LCM
15t = 2
When we divide through by t
T = 7.5 hours
Therefore the time it would take Marco is 7.5 hours
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