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11 men can dig 6 3/4 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?

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Let’s consider number of men required be ‘x’ men

Length of trench (m)27/427
Number of men11x

(27/4)/11 = 27/x

By cross-multiplying

x27/4 = 27(11)

x27/4 = 297

x = (297 × 4)/27

= 44

∴ To dig 27 m long trench of same type in one day requires 44 men.

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