Question

At a construction site, 4 men or 5 women can complete a task in 82 days. How many days will it take to complete the task by 5 men and 4 women? [2 Marks]

Answer 1

Let x be the work done by one man and y be the work done by one woman. [0.5 Mark]

Then according to the question,

4x = 5y

⇒ x = 5y/4 [0.5 Mark]

Now, 5x + 4y = 5(5y/4) + 4y = 25y/4 + 4y

= 41y/4 [0.5 Mark]

If 5y can complete the task in 82 days

Then, 41y/4 can complete the task in 5y × 82 × 4/41y = 40 days.

∴ 5 men and 4 women can complete the task in 40 days. [0.5 Mark]