To finish a work in 8 days, 10 men are required, or 15 women are required. If 'x' men and 'y' women are required to finish the work in 12 days, then which of the following equations is correct?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 3x + 2y = 20.
Let one man's one day work = m and one woman's one day work = w.
10 × m × 8 = 15 × w × 8
80m = 120w
⇒ m/w = 3/2
to finish the work in 12 days
12 = (10 × 3 × 8)/(xm + yw)
12 = (10 × 3 × 8)/(3x + 2y)
⇒ 3x + 2y = 20