Answer :
Max and Earl work 8 hours per week. Since Earl works 2 more hours, Earl works 8 + 2 = 10 hours per week.
How to find How many hours a week does Earl work
Let's assume that both Max and Earl work x hours per week.
Since Max earns P50 per hour, his total weekly earnings can be calculated as:
Max's weekly earnings = P50 * x
Similarly, since Earl earns P40 per hour and works 2 more hours than Max, his total weekly earnings can be calculated as:
Earl's weekly earnings = P40 * (x + 2)
According to the given information, Max and Earl earn the same amount per week. So we can set up an equation:
Max's weekly earnings = Earl's weekly earnings
P50 * x = P40 * (x + 2)
Simplifying the equation,
50x = 40(x + 2)
Expanding:
50x = 40x + 80
Subtracting 40x from both sides:
10x = 80
Dividing both sides by 10:
x = 8
Therefore, Max and Earl work 8 hours per week. Since Earl works 2 more hours, Earl works 8 + 2 = 10 hours per week.
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After setting up and solving the equation, it is found that Max works 8 hours per week. Therefore, Earl, who works 2 more hours than Max, works 10 hours per week.
Max and Earl work different amounts of hours but earn the same weekly pay. Let's denote the number of hours Max works as x. Since Max earns P50 per hour, his weekly earnings can be expressed as 50x. Earl, on the other hand, earns P40 per hour and works 2 more hours than Max, with his weekly earnings represented as 40(x + 2).
To find out how many hours Earl works, we can set up the equation:
50x = 40(x + 2)
Simplifying this equation:
50x = 40x + 80
Subtracting 40x from both sides:
10x = 80
Dividing by 10 to solve for x:
x = 8
Now we know Max works 8 hours. Since Earl works 2 more hours than Max:
Hours Earl works = x + 2 = 8 + 2 = 10 hours
Earl works 10 hours a week.
