Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charge a total of $2800. What was the rate charged per hour by each mechanic if the sum of the two rates was $225 per hour?
in Word Problem Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Let the rate of the first mechanic be r₁ dollars per hour and the rate of the second mechanic be r₂ dollars per hour.

The total cost of the two mechanics is 10r₁+15r₂=$2800.

Also r₁+r₂=$225, so r₂=225-r₁ which can be substituted into the other equation:

10r₁+15(225-r₁)=2800,

10r₁+3375-15r₁=2800,

3375-2800=5r₁,

r₁=575/5=$115 per hour, so r₂=225-115=$110 per hour.

So the hourly rates are $115 and $110.

by Top Rated User (840k points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
86,310 questions
92,368 answers
2,251 comments
23,929 users