Two mechanics worked on a car. the first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. together they charged a total of $1325 . what was the rate charged per hour by each mechanic if the sum of the two rates was $160 per hour?

10x + 5y = 1325

x + y = 160 --> y = 160 - x

II in I

10x + 5(160 - x) = 1325

10x + 800 - 5x = 1325

5x = 525

x = 105

y = 160 - 105 = 55

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.