Two mechanics worked on a car. The first mechanic charged $65 per hour, and the second mechanic charged $115 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1550. How long did each mechanic work?

Answer 1

Let x be the number of hours the first mechanic worked and y be the number of hours the second mechanic worked.

From the information given, we can create the following system of equations:

x + y = 20 (total number of hours worked)

65x + 115y = 1550 (total amount charged)

Solving the first equation for x, we get:

x = 20 - y

Substituting this into the second equation, we get:

65(20 - y) + 115y = 1550
1300 - 65y + 115y = 1550
50y = 250
y = 5

Substitute y = 5 back into x = 20 - y:

x = 20 - 5
x = 15

Therefore, the first mechanic worked for 15 hours and the second mechanic worked for 5 hours.

Answer 2

You sure?

Answer 3

Let's try solving this again.

Let x be the number of hours the first mechanic worked and y be the number of hours the second mechanic worked.

From the information given, we can create the following system of equations:

x + y = 20 ......(1)
65x + 115y = 1550 .......(2)

From equation (1), we have x = 20 - y

Substitute x = 20 - y into equation (2):

65(20 - y) + 115y = 1550
1300 - 65y + 115y = 1550
50y = 250
y = 5

Substitute y = 5 back into x = 20 - y:

x = 20 - 5
x = 15

Therefore, the first mechanic worked for 15 hours and the second mechanic worked for 5 hours.