Solving equations 1 and 2; Multiply (1) by 10 and subtract two from the result, 10x+10y = 2050 10x +15 y =2500 ---------------------- -5 y = --450 => y = 450/5 = $90 Then, x= 205-90 = $115
Therefore, Mechanic 1 charged $115 per hour Mechanic 2 charged $90 per hour
It would take greater than 31.25 hours for Tim's price to be better. So in terms of whole hours it would take at least 32 hours of work for Tim's price to be better.