Question

If 100 men working 8 hours a day can dig 160m long, 6m broad and 4 metre deep trench in 24 days, then how many days 180 men working 10 hours a day will take to dig 450m long, 4 m broad and 3 m deep trench ?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

They need 80 days to dig the given deep trench.  

Given:

If 100 men working 8 hours a day can dig 160m long, 6m broad and 4 metre deep trench in 24 days,  

To find:

In  how many days 180 men working 10 hours a day will take to dig 450m long, 4 m broad and 3 m deep trench  

Solution:

Comparing the two cases, by variation,

= $\frac{(men \times days \times  hours)}{area of the trench}$    

The above equation is equated,

Hence = $\frac{(100 \times 24 \times 8)}{(160 \times 6 \times 4)}$

$= \frac{(180 \times x \times 10)}{(450 \times 4 \times 3)}$

x = 80 days.