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Secondary 1 | Maths
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Date Posted: 4 years ago
Views: 222
Let the normal hour = x
Let the Overtime hour = y
X+y = 54
X = 54 - y ---(1)
Normal rate = 2.80
Overtime rate = 1.5 x 2.8 = 4.2
2.8x + 4.2y = 173.60 ----(2)
Sub (1) into (2)
2.8(54-y) )+ 4.2y = 173.60
151.2 - 2.8y + 4.2y = 173.60
1.4y = 22.4
y = 22.4/1.4
y= 16
He work 16 hours overtime.
Let the Overtime hour = y
X+y = 54
X = 54 - y ---(1)
Normal rate = 2.80
Overtime rate = 1.5 x 2.8 = 4.2
2.8x + 4.2y = 173.60 ----(2)
Sub (1) into (2)
2.8(54-y) )+ 4.2y = 173.60
151.2 - 2.8y + 4.2y = 173.60
1.4y = 22.4
y = 22.4/1.4
y= 16
He work 16 hours overtime.
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Date Posted:
4 years ago
Alternative :
For those overtime hours, he is getting paid 1½ times the usual rate.
So subtract away the normal amount for all 54 hours first.
54 x $2.80 = $151.20
$173.60 - $151.20 = $22.40
$22.40 is the sum of all the extra pay from overtime. Each overtime hour yields an extra ½ hour's worth of pay.
½ hour's worth of pay = $2.80 ÷ 2
= $1.40
Amount of hours done overtime
= $22.40 ÷ $1.40
= 16
For those overtime hours, he is getting paid 1½ times the usual rate.
So subtract away the normal amount for all 54 hours first.
54 x $2.80 = $151.20
$173.60 - $151.20 = $22.40
$22.40 is the sum of all the extra pay from overtime. Each overtime hour yields an extra ½ hour's worth of pay.
½ hour's worth of pay = $2.80 ÷ 2
= $1.40
Amount of hours done overtime
= $22.40 ÷ $1.40
= 16
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