Question

a wall can be built by 6 men working 8 hours per day in 5 days. How many days will it take 4 men to build the wall if they only work 5 hours per day​

Answer 1

Step-by-step explanation:

Let M represents men , H represents hours and D represents days.

Then the proportional relation between these three is,

M1 * H1 * D1 = M2 * H2 * D2

6 * 8 *5 = 4*5*D2

240 = 20 *D2

D2 = 240/20 = 12

Thus, it will take 12 days to complete the work .

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Answer 2

Answer:

12 Days

Step-by-step explanation:

Step 1

Situation 1 :

No. of men: 6

Work:

1 Day = 8 hours

5 Days = x

x = 5 x 8/1 = 40 hours

Step 2

Consider 5 hours per day constant for both 6 men and the second situation of 4 men constant to get them into proportion(that can be either direct proportion or inverse proportion)

6 men:

1 Day = 5hours

x  = 40 hours

x=40 x 1/5

= 8 days

Step 3:

Since more men in work(6 men),less time consumed and less men in work(4 men), more time consumed. Situation 1 and Situation 2 are in inverse proportion.

6 men = 8 days

4 men = x

x= 6 x 8/4

= 12

So, 4 men working 5 hours per day will take 12 days to complete or build the brick wall.