## Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a t

Question

Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1800. What was the rate charged per hour by each mechanic if the sum of the two rates was $150 per hour?

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2021-10-03T20:59:45+00:00
2021-10-03T20:59:45+00:00 1 Answer
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## Answers ( )

Answer: The mechanic who worked 5 hours charged $45 per hour while the mechanic who worked for 15 hours charged $105 per hour.

Step-by-step explanation:

Let x be the rate of mechanic who worked 5 hours

And y, the rate of mechanic who worked 15 hours

Represent the question in an equation

x + y = 150………….. equation 1

5x + 15y = 1800……..equation 2

x + y = 150, x = 150 -y

Substitute the value of x into equation 2 to get y

= 5 (150 -y) + 15y = 1800

Then open the bracket

750 – 5y + 15y = 1800

750 + 10y = 1800

10y = 1800 – 750

10y= 1050 (divide both sides by 10)

y = 1050/10

y = 105

Substitute the value of y into equation 1 to get the value of x

x + 105 = 150

x = 150 – 105

x = 45

Therefore, the mechanic who worked 5 hours charged $45 per hour while the mechanic who worked for 15 hours charged $105 per hour.

I hope this is clear, mark as brainliest please