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?

Question

Mathematics

Aarav Valencia

4 May, 12:29

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?

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Answers (1)

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Jameson Rice · 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