Problema Solution
A part time mover's regular pay rate is $60 an hour, if the work involves going up and down stairs it increases to $90 an hour. In one week he earned $1,380 and worked 20 hours. How many hours did he work at each rate?
Answer provided by our tutors
let
x = the hours he worked at regular pay rate of $60 per hour
y = the hours he worked at rate of $90 per hour
the total hours he worked
x + y = 20
he earned
for x hours: 60*x + for y hours: 90x = total money earned $1,380
60*x + 90*y = 1380
by solving the system of equations
x + y = 20
60*x + 90*y = 1380
we find
x = 14 hours for pay rate of $60 per hour
y = 6 hours for pay rate of $90 per hour
indeed
60*14 + 90*6 = 13800
The mover worked 14 hours for pay rate of $60 per hour and 6 hours for pay rate of $90 per hour.