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Q.

If 11 men can dig $634$ m long trench in one day. How many men should be employed for digging 27 m long trench of the same type in one day?

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a

40

b

41

c

42

d

44

answer is D.

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Detailed Solution

Given,
Number of men required to dig

634 m= 274 m

long trench = 11. Let the number of men required to dig 27 m long trench be x.
Then,

Number of men	11	x
Length (in m)	$\frac{27}{4}$	27

We can clearly observe that, more the number of men, more the length of trench will dig.
Therefore, this is the case of direct proportion.
As this is the case of direct proportion, therefore the ratio will remain constant throughout the table that is,

11 ÷ 274 = x 27 11 × 427 = x 27 4427 = x 27

Cross multiplying,

44 × 27 = 27 × x

Solving for x,

x = 44 × 27 27 x = 44

Hence, the number of men required to dig 27 m long trench is 44.
Therefore, option 4 is correct.

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