Question

24 men working 10 hours a day can build a wall in 18 days. In how many days will 15 men build the same wall working 12 hours a day?

Answer 1

Step-by-step explanation:

15 men x (10 hrs x 21 days) = 18 men x (7 hrs x # days)

# days = (15 men x 10 hrs x 21 days) / (18 men x 7 hrs)

# = 25 days

hope this helps u ✌️

Answer 2

Concept:

If the rate work is constant then the number of men is inversely proportional to the number of days needed.

That is when rate of work is constant then a less number of men do in more days and more number of mens can do in less days.

If the number of men is constant then the rate of work and days need to complete the work are also inversely proportional.

Given:

Given that, 24 men build a wall in 18 days working for 10 hours a day.

Find:

The number of days needed to build the same wall by 15 men working for 12 hours a day.

Solution:

24 men  can build a wall in 18 days working for 10 hours a day

24 men can build the wall in $=18\times10=180$ days working 1 hour a day

1 men can build the wall in $=180\times24$ days working 1 hour a day

15 men working 1 hour a day can build the wall in $=\frac{180\times24}{15}=12\times24$ days

15 men working 12 hours a day can build the wall in $=\frac{12\times24}{12}=24$ days.

Hence 15 men can build the same wall working 12 hours a day in 24 days.

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