In a factory, there are equal number of women and children. Women work for 6 h a days and children for 4 h a day. During festival time, the work load goes up by 50%. The government rule does not allow children to work for more then 6 h a day. If they are equally efficient and the extra work is done by women, then extra hours of work put in by women everyday are?

Q: In a factory, there are equal number of women and children. Women work for 6 h a days and children for 4 h a day. During festival time, the work load goes up by 50%. The government rule does not allow children to work for more then 6 h a day. If the…

Let extra hours a day are N. According to the formula, (M1D1T1) / W1 = (M2D2T2) / W2 ⇒ [1 x 1 x (6 + 4)] / 1 = [1 x 1 x (6 + 6 + N)] / 11/2 ⇒ (3/2) x 10 = 12 + N ⇒ 15 = 12 + N ∴ N = 15 - 12 = 3 Extra hours of works everyday are 3.

Correct Answer: 3

Explanation:

Let extra hours a day are N.
According to the formula,
(M₁D₁T₁) / W₁ = (M₂D₂T₂) / W₂
⇒ [1 x 1 x (6 + 4)] / 1 = [1 x 1 x (6 + 6 + N)] / 1¹/₂
⇒ (3/2) x 10 = 12 + N
⇒ 15 = 12 + N
∴ N = 15 - 12 = 3
Extra hours of works everyday are 3.

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