If it takes 10 days to dig a trench 100 m long, 50 m broad and 10 m deep, what length of trench, 25 m broad and 15 m deep can be dug in 30 days ?

a. 400 m
b. 200 m
c. 100 m
d. 88(8 / 9) m

• We can dig a trench of 100*50*10 in 10 days. The volume of this trench is 50 000m^3. This means that 50 000 m^3 of dirt is moved every 10 days. Thus, it is found that 3(50 000) of dirt, or 150 000 m^3 of dirt is moved in 30 days. Since we know that the dimensions of this hole are 25, 15, and x and the volume is 150 000, we can create the equation 15*25*x=150 000. Solving for x, we find that the missing dimension is 400m
  Hence D is correct Option
• 9 years agoHelpfull: Yes(1) No(1)