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190/5= rate per hour 38
38 (rate per hour)*48 (given hours)= 1824 quarts
38(rate per hour)* 24 (hours in a day)= 912 quarts per day
or
1824(quarts made in two days (48 hours))/2=912 quarts per day
Remark
The equation is job1/ time + job2/time = job3/time
Discussion
job one is the time it takes one of the workers to complete the job.
job two is the time it takes the other workers to complete the job
job three is the time it takes to do the job together.
Givens.
Let Marcus's time = m
Let Tony's time be =t
Let their together time = t1
Equation Substitution and solution.
1/m + 1/t = 1/t1
1/6 + 1/4 = 1/t1 The common denominator on the left is 12.
2/12 + 3/12 = 1 / t1
5/12 = 1/t1 Cross multiply.
5*t1 = 12 Divide by 5
t1 = 12/5
t1 = 2 2/5
t1 = 2.4 hours
Cost
1 hour = 43 dollars for labor.
2.4 hours = x dollars for labor.
1*x = 43 * 2.4
x = 103.2 dollars. <<<<< Answer