1.

Work done by 1 man is equal to the work done by 4 children and work done by 1 woman is equal to the work done by 2 children. 2 men, 2 women and 1 child can complete work together in 8 days. In how many days 4 men, 4 women and 2 children can complete the work?1). 2 days2). 6 days3). 4 days4). 7 days

Answer»

Let work done by 1 man, 1 woman and 1 CHILD in one DAY be m, w, c respectively and D be the days required to complete the work

m = 4c, w = 2c

⇒ (2M + 2w + c) × 8 = (4M + 4w + 2c) × D

⇒ (8c + 4c + c) × 8 = (16c + 8c + 2c) ×D

⇒ 13 × 8 = 26 × D

∴ D = 4 days


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