To solve the problem, let's define the variables:
- Let \( r_1 \) be the rate charged per hour by the first mechanic.
- Let \( r_2 \) be the rate charged per hour by the second mechanic.
Suppose the first mechanic worked for \( h_1 \) hours and the second mechanic worked for \( h_2 \) hours. We know from the problem that:
- The combined charge for their labor is \( 1050 \).
- Their total charge can be expressed as: \[ r_1 \cdot h_1 + r_2 \cdot h_2 = 1050 \]
In order to find the rates \( r_1 \) and \( r_2 \), we would also need to know at least one of the following:
- The actual hours \( h_1 \) and \( h_2 \) worked by the two mechanics.
- The rate of one mechanic or the relationship between the two rates.
Could you please provide the hours worked, or any additional information about the rates or their relationship?