Two welders worked a total of 46 h on a project. One welder made $34/h, while the other made $39/h. If the gross earnings of the two welders was $1,669 for the job, how many hours did each welder work?
Mathematics · High School · Thu Feb 04 2021
Answered on
Let the two welders work for x and y hours respectively.
x + y = 46 ……….(1)
34x + 39y =1669 ……(2)
Solving eq. (1) and eq. (2) by substitution method:
from equation (1), we have x + y = 46
y = 46 - x ……(3)
Putting value of y in equation (2), we get
34x + 39(46 - x) = 1669
34x + 1794 - 39x = 1669
-5x = 1669 - 1794
-5x = -125
dividing both sides by -5
-5x/-5 = -125/-5
x = 25
now putting value of x in equation (3)
y = 46 - 25
y = 21
Therefore, one welder work for 25 hrs and one welder worked for 21 hrs.