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 normal working hours be x and overtime working hours be y.
x + y = 56
y = 56 - x .......(i)
Also given, total amount received = Rs.1440
20x + 40y = 1440
⇒ x + 2y = 72 .....(ii)
Substituting (i) and (ii)
x + 2(56 - x) - 72
⇒ x + 112 - 2x = 72
⇒ x - 2x = 72 - 112
⇒ x = 40
Normal working hours = 40 hrs.