Question

20 men can do a piece of work in 15 days. if 10 men leave the group after 10 days how many more days will the rest of the workers take

Answer 1

Answer:

• The rest of the workers will take 10 more days to complete the work.

Step-by-step explanation:

Given that:

• 20 men can do a piece of work in 15 days.
• 10 men leave the group after 10 days.

To Find:

• How many more days will the rest of the workers take to complete the work.

First finding the work done by 20 workers in 10 days:

∵ 20 men can do a piece of work in 15 days.

∴ 20 men's one day work = 1/15

∴ 20 men's 10 days work = 10/15

Finding the remaining work:

• Remaining work = 1 - 10/15
• Remaining work = (15 - 10)/15
• Remaining work = 5/15 = 1/3

Finding the remaining workers:

• Remaining workers = 20 - 10
• Remaining workers = 10

Finding the time taken by 10 man to complete the work:

∵ 20 men can do a piece of work in 15 days.

∴ 1 man can do a piece of work in (15 × 20) days.

∴ 10 men can do a piece of work in (300/10) days.

∴ 10 men can do a piece of work in 30 days.

Finding the time taken by rest workers to complete the remaining work:

∵ 10 men can do a piece of work in 30 days.

∴ 10 men can complete 1/3rd work in (30 × 1/3) days.

∴ 10 men can complete 1/3rd work in 10 days.

Answer 2

Given :-

If 20 men can do a piece of work in 15 days. if 10 men leave the group after 10 days

To find :-

Total ore days will the rest of the workers take

Solution :-

Work done by 20 people in 15 days = 20/15

Work done by 1 people in 15 days = 1/15

Work done by 10 people in 15 days = 10/15

Remaining work = (1)(15) - 10/15

=> 15 - 10/15

=> 5/15

=> 1/3

Remaining workers = 20 - 10 = 10 workers

Now

Work done by 10 men = 15 × 20/10

=> 300/10

=> 30 days

Now

Rest taken = 30 ×  Remaining work

Rest taken = 30 × 1/3

Rest taken = 10 days