Question

20 men can dig a tank 40 feet long and 30 feet and broad and 10 feet deep in 25 days. in how many days will 60 men dig a tank 90 feet long, 60 feet broad and 20 feet deep.

Answer 1

Answer:

men. dimensions. days

20. 40x30x10. 25

60. 90x60x20. x?

x=20 x 90x6ox 20x25/60x40x30x10

x=75 days. Ans

Answer 2

Answer:

60 men will dig a tank 90 feet long, 60 feet broad and 20 feet deep in 75 days

Step-by-step explanation:

In first case,
The volume of the tank is 40×30×10= 12000 cubic feet.
Rate of work is= $\frac{12000}{20*25}$
= 24 cubic feet per man per day.

In second case,
The volume of the tank is  90×60×20 = 108000 cubic feet.
Rate of work is= $\frac{108000}{60*x}$, where $x$ is the number of days to be found out.
= $\frac{1800}{x}$ cubic feet per man per day.

Assuming that the rate of work is the same in both the cases, the equation obtained will be=

24= $\frac{1800}{x}$
⇒ $x$= 75 days.

∴ 60 men will dig a tank 90 feet long, 60 feet broad and 20 feet deep in 75 days