SOLUTION: Church plumbing charges $58 for a service call, plus $42 per hour for labor. Ross plumbing charges $34 for a service call, plus $48 per hour for labor. Find the length of time of

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Question 415718: Church plumbing charges $58 for a service call, plus $42 per hour for labor. Ross plumbing charges $34 for a service call, plus $48 per hour for labor. Find the length of time of a service call for which the 2 companies will charge the same amount.
Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
Let C be the total cost of Church Plumbing, R the total cost of Ross Plumbing
Let h be the number of hours
Then we have
C=42h+58 (1)
R=48h+34 (2)
Set C=R
42h+58=48h+34
Solve for h: 6h=24, or h=4
So answer is 4 hours

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