Question

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 $1400 . What was the rate charged per hour by each mechanic if the sum of the two rates was $150 per hour?

Answer 1

so price=rate times time
rates are
x and 150-x

time is 5 hourst ans 15 hours total cost is 1400
p=rt

5(150-x)=p1
15x=p2
p1+p2=1400
add them
5(150-x)+15x=1400
distribute
750-5x+15x=1400
add lke terms
750+10x=1400
subtract 750 from both sides
10x=650
diviide by 10
x=65
one rate is 65 dollar per hour
subsitue
other rate=150-x
150-65=55

the rate of teh 5 hours one is 55 dollars per hour
the rate of th 15 hour one is 65 dollar per hour