Question

A public sewer line is being installed along `80 1/4` m of road. The supervisor says that the labourers will be able to complete 7.5 m in one day. How long will the project take to complete?

Answer 1

Total sewer line to be installed = `80 1/4` m

= `((80 xx 4) + 1)/4`

= `321/4` m

In one day labourers can complete = 7.5 m

∴ Number of days to complete the project = `"Total sewer line to be installed"/"One day work"`

= `((321/4))/7.5`

= `321/(4 xx 7.5)`

= `312/30`

= 10.4 days ≈ 11 days.

∴ Hence, the number of days to complete the project will be 11 days.