Question

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

Answer 1

total length of the road= 80 1/4 m
total length labourers can complete in a day= 7.5m
total days it will take to complete= 80 1/4 ÷ 7.5 =10.7 = 11 days

Answer 2

It will take 11 days to complete the project.

Given,

Length of the road, l = 80 1/4 m

Amount of work done in a day, w = 7.5 m

To Find,

time taken to complete the work, n

Solution,

This problem can be solved using a very simple method.

We have been that a public sewer line is being installed along a road.

The length of the road,

⇒ l = 80 1/4 m

⇒ l = 321/4 m

⇒ l = 80.25 m

The amount of work that the laborers can complete in one day,

⇒ w = 7.5 m

We have to find the no. of days it will take to complete this project, n

That is, 7.5 m road is completed by the laborers in one day

Then, 80.25 m road is completed by the laborers in 'n' days

Mathematically, this could be written as:

$\implies \frac{7.5}{80.25} = \frac{1}{n}\\\\\implies n = \frac{80.25}{7.5}\\\\\implies n = 10.7\\\\\implies n \approx 11 \hspace{0.1 cm} days$

Therefore, it will take 11 days to complete the project.

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