An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. After 100 days, he finds 2.5 km of the road has been completed. Find the (approx.) number of extra men he must employ to finish the work in time.

Answer:- 1

Explanation:-

Solution:

Variation Method:
In 100 days only 2.5 km rod i.e. 16.66 % of work has been completed
Men Days Road (km)
45 100 ↓ 2.5
X ↑ 200 12.5↑
Arrows show the directions of variation of quantity with respect to each other

\frac{x}{45} = \frac{100 \times 12.5}{200 \times 2.5}

$\frac{{\text{x}}}{{45}} = \frac{{100 \times 12.5}}{{200 \times 2.5}}$
x = 113 men;
Required men to be increased,
= 113 - 45 = 68

Workspace Report

Post your Comments

x = 113 men;
Required men to be increased,
= 113 - 45 = 68 ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Variation Method:
In 100 days only 2.5 km rod i.e. 16.66 % of work has been completed
Men Days Road (km)
45 100 ↓ 2.5
X ↑ 200 12.5↑
Arrows show the directions of variation of quantity with respect to each other

\frac{x}{45} = \frac{100 \times 12.5}{200 \times 2.5}

$\frac{{\text{x}}}{{45}} = \frac{{100 \times 12.5}}{{200 \times 2.5}}$
x = 113 men;
Required men to be increased,
= 113 - 45 = 68 ", "dateCreated": "7/24/2019 10:09:12 AM" } }