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 1750 what was the rate charged per hour by each mechanic if the sum of the two rates was 160 per hour

Answer 1

rate of first --- $x
rate of 2nd ---- $ (160-x)

5x + 15(160-x) = 1750
5x + 2400 - 15x = 1750
-10x = -650
x = 65

1st one charged $65 per hour
2nd charged $95 per hour

check:
5(65) + 15(95) = 1750
65+95 = 160