Question

If 16 men or 20 women can do a piece of work in 25 days. In what time will 28 men and 15 women do it?

• A. 10
• B. 12
• C. 15
• D. 18

Answer 1

Answer:

A. 10

• You can assume 1 man does 'x' units of work per day and 1 woman does 'y' units of work per day.

• Then, 16x × 25 = 20y × 25,

• which gives 16x = 20y, or 4x = 5y.

• The total work to be done is 16 × 25 × x (or 20 × 25 × y).

• The work done by 28 men and 15 women in T days is (28x + 15y) × T.

• Equating the total work: 400x = (28x + 15×(4/5)x) × T

• ⇒ 400x = (28x + 12x) × T

• ⇒ 400x = 40x × T

• ⇒ T = 10.