Question

3. If 5 men can do a certain construction work in 14 days, then how long will 7 mens take
to complete the same construction work​

Answer 1

Answer:

The time required is 10 days.

Step-by-step explanation:

Given :

5 men complete = 14 days

To find :

The time required by 7 men

Solution :

Let the time required be as m

$\begin{tabular}{|c|c|c|}\cline{1-3} Workers (x) & 5 & 7 \\\cline{1-3}\ Time (y) & 14 & m \\\cline{1-3}\end{tabular}$

Inverse Variation -

$\boxed{\tt{x \times y = K}}$

$\tt{\implies} \: 5 \times 14= 7 \times m \\ \\ \tt{\implies} \:70 = 7m \\ \\ \tt{\implies} \: m= \dfrac{70}{7} \\ \\ \tt{\implies} \:m = 10$

Time required by 7 workers is 10 days.

$\therefore$ The time required is 10 days.

Answer 2

||✪✪ QUESTION ✪✪||

If 5 men can do a certain construction work in 14 days, then how long will 7 mens take to complete the same construction work ?

|| ★★ FORMULA USED ★★ ||

➺ If M1 men can do W1 work in D1 days working H1 hours per day and M2 men can do W2 work in D2 days working H2 hours per day, then

❦❦ (M1*D1*H1)/W1 = (M2*D2*H2)/W2 ❦❦

|| ✰✰ ANSWER ✰✰ ||

From given data , we have :-

➳ M1 = 5 men

➳ D1 = 14 days .

➳ M2 = 7 men

➳ D2 = ?

Putting values in above told formula we get , now,

☞ (5 * 14) = (7 * D2)

Dividing both sides by 7 we get,

☞ D2 = 5*2

☞ D2 = 10 days..

Hence, 7 mens take 10 days to complete the same construction work..