Question

In a factory a worker is paid Rs. 20 per hour for normal work and double the rate for overtime work. If he worked for 56 hours in a week, find the number of hours of his normal work if he receives Rs. 1440 in all.

Answer 1

Let the number of normal hours of work be x hours.
So, in a week the number of overtime work hours = (56 - x)hours
So, for x hours of normal work, the worker is paid Rs.20x
and for (56 - x) hours of overtime work the worker gets
paid Rs.40(56 - x) = Rs.(2240 - 40x)
As per the given condition,
2240 - 40x + 20x = 1440
⇒ 2240 - 20x = 1440
⇒ -20x = -800

⇒ x = `(800)/(20)`
⇒ x = 40
Hence, the number of hours of normal work is 40 hours.