Question

11 men can dig 27 by 4 metre long trench in one day.how many men should be employed for digging 27 metre long trench of the same type in one day..........plz. Ans it in direct variation method column

Answer 1

11 men can dig 27/4metre in one day
men should employed for digging 27 metre =x
Now 11:x::27/4:27
product of externals = product of internal i.e.,11×27=x×27/4
297=27x/4
297×4=27x
1188=27x
x=1188/27=44
therefore men should be employed=44

Answer 2

Answer:

Number of men needed to dig 27 meter trench = 44

Step-by-step explanation:

11 men can dig 27/4 meter in one day

Let the men needed for digging 27 meter be x

So, The condition given in the problem can be expressed in the ratio form as :

Now 11 : x : : 27/4 : 27

Using the ratio rule, Multiply the internals and externals and then equating them. We get,

⇒ x × 27/4 = 11 × 27

⇒ 297 = 27x/4

⇒ 297 × 4 = 27x

⇒ 1188 = 27x

⇒ x = 1188/27

⇒ x = 44

Hence, Number of men needed to dig 27 meter trench = 44