Question

In a factory male workers are paid one and a half times more than their female counterparts for each hour of work. In a particular week a husband and wife team worked for a total of 60 hours with the husband working twice as much as his wife. The total amount earned by both is Rs 960. If the husband's earning is 4 times that of his wife, find the number of hours each worked.

Answer 1

Let the wife work for x hrs.
Since the husband works twice as much as his wife,
Therefore husband works for 2x hrs.
Total numbers of hours worked = 60
⇒ x + 2x = 60
⇒ 3x = 60
⇒ x = 20
⇒ 2x = 40
Therefore, wife works for 20 hrs and husband works for 40 hrs.