Question

Two mechanics worked on the car the first mechanic work for five hours in a sec mechanic work for 15 hours together the tires a total of 1850 what was the rate charge per hour about each mechanic if the sum of the two rates were $160 per hour

Answer 1

Answer:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

Step-by-step explanation:

Given

Represent the rate of the first mechanic with x and the second with y.

So, we have:

$x + y = 160$

The total earnings is: $1850, so we have:

$5x + 15y = 1850$

Required

Determine the rate of each

The equations are:

$x + y = 160$ --- (1)

$5x + 15y = 1850$ --- (2)

Divide (2) through by 5

$x + 3y = 370$ --- (3)

Subtract (1) from (3)

$x - x + 3y - y = 370 - 160$

$2y = 210$

Divide through by 2

$y = \frac{210}{2}$

$y = 105$

Substitute 105 for y in (1)

$x + y = 160$

Make x the subject

$x = 160 - y$

Substitute 105 for y

$x = 160 - 105$

$x = 55$

Hence:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour