Question

Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1400.

What was the rate charged per hour by each mechanic if the sum of the two rates was $165 per hour

Answer 1

$115/hr The 10 hr mechanic

$50/hr The 5hr mechanic

Explanation:

let the 10 hr mechanic charge x

then the 5 hr mechanic charges 165 - x

------------------------------

10x + 5(165 - x) = 1400

10x + 825 - 5x = 1400

5x = 575

x = 115 The 10 hr mechanic

165 - x = 50 The 5hr mechanic