Given:
8 men and 12 women Build a wall in 10 days
6 men and 8 women in 14 days
Concept used:
M1 × D1 = M2 × D2
Total work done = Efficiency × Total number of days
Solution:
(8M + 12W) × 10 = (6M + 8W) × 14
80M + 120W = 84M + 112W
4M = 8W
M= 2W
Substitute M = 2W into 8M + 12W =
8 (2W) + 12 W =
16 W + 12 W =
28W=
Work = 280W
Time for one woman:
T = =
= 280 days.
Thus, correct option is (d)
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