The rate charged by first mechanic is $45 per hour and the rate charged by second mechanic is $50 per hour.
Given mechanic first worked 20 hours and mechanic second worked 15 hours and they charged $1650. The sum of rates of first mechanic and second mechanic is $95 per hour.
let the rate charged by first mechanic be x .
let the rate charged by second mechanic be y.
According to question
x +y=95-----------1
20x+15y=1650----------2
Multiply equation 1 by 20 and subtract equation 2 from 1.
20x+20y-20x-15y=1900-1650
5y=250
y=50
put the value of y=50 in 1 to get the value of x.
x +y=95
x+50=95
x=95-50
x=45
Hence the rate charged by first mechanic is $45 per hour and the rate charged by second mechanic is $50 per hour.
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Question is incomplete as it should be as under:
Two mechanics worked on a car, the first mechanic worked 20 hrs. and the second mechanic worked 15 hours together. They charged a total of $ 1650. What is the rate charged per hour for each mechanic if the sum of the two rates per hour was $95 per hour?
