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 $1025. What was the rate per hour by each mechanic if the sum of the two rates was $105 per hour?
Question
Answer:
The mechanic who worked 5 hours charged $115 per hour, the one who worked 15 hours charged $120 per hour.
Step-by-step explanation:
x = rate of mechanic who worked 5 hours
y = rate of mechanic who worked 15 hours
Then
x + y = 235
5x + 15y = 2375
Just solve these 2 equations above for x and y.
x + y = 235 ⇒ x = 235 – y
Substitute into second equation to find y.
5(235 – y) + 15y = 2375
1175 – 5y + 15y = 2375
10y = 1200
y = 1200/10 = 120
x = 235 – y = 235 – 120 = 115