Question

if 3 person can fo a piece of work in 4;days then find the number of days taken by 4 people to complete the work​

Answer 1

Step-by-step explanation:

The answer is 3 days.

If 3 workers built the wall in 4 days it means each worker can build 1/12 wall per worker day

If X is the number of days for 4 workers

X*((1/12) wall/(worker*day))*4 worker = 1 wall

Worker and wall cancel out resulting in the following:

(X/(12 day))*4 = 1

X/(3 day) = 1

X = 3 days

Answer 2

as the number of the people increase

the time is is decreased

therefore it is an inverse proportion

so,

$a {}^{1} b {}^{1} = a {}^{2} b {}^{2} \\ 3 \times 4 = 4 \times x \\ 12 = 4x \\ x = \frac{12}{4} = 3$

3 days

hope it will help you