Question

20 men can finish a work in 30 days. After how many days should 5 men leave the work so that the work may be finished in 35 days? ​

Answer 1

Answer:

15 days

Step-by-step explanation:

Given, 20 men can finish a work in 30 days.

Total work days required = 30 * 20 = 600.

Given that 5 men leave the work.

If 5 members leave the job after 'x' days, then work is completed in 35 days.

⇒ 20 * x + (35 - x) * 15 = 600

⇒ 20x + 525 - 15x = 600

⇒ 5x = 75

⇒ x = 15.

∴ Total number of days = 15.

Hope it helps!

Answer 2

First of all we convert it in unit like this

20 workers × 30 days = 600 units work

After leave the 5 workers , we have 35 days for complete the work.

In 35 days only 15 workers will do the work.

So the work completed in 35 days by 15 workers = 35 ×15 =525 units

Remaining unit = 600 -525 =75 units

This units would done by 5 workers in ( 75/5) = 15 days .

So after 15 days 5 workers should leave the job.