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11 men can dig 6 3/4 metre long trench i...

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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Verified by Experts

Let `x` be the number of men required to dig a trench of `27` meter.
Since, the length of the trench and the number of men are in direct variation, we have:
`⇒ 11/x = (27/4)/27`
`⇒ 11×27=x× 27/4`
`⇒ x= (11×27×4)/27`
`⇒ x=44`
∴ `44` men will be required to dig a trench of `27` meter.
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