Question

A contractor undertakes to dig a canal.6 km long,in 35 days and employed 90 men.He finds that after 20 days only 2km of canal have been completed.How many more men must be employed to finish the work in time?

Answer 1

Answer:

150 men must be employed to finish the work in time

Step-by-step explanation:

m1 person can do w1 works in d1 days and m2 person can do w2 works in d2 days then we have a generated formula in their relationship

$\frac{m1d1}{w1}=\frac{m2d2}{w2}$

Let the work be to dig a canal.6 km long,

work, w = 6

Also 'x' be the people wanted to finish the work in time

first case

After 20 days 90 men completed 2 km long

w1 = 2, m1 = 90 and d1 =20

Second case

The remaining work be 6 - 2 = 4

w2 = 4, m2 = 90 + x and d2 = 35 - 20 = 15

To find x

By using the formula,

$\frac{90*20}{2}=\frac{(90+x)15}{4}$

$90*20=\frac{(90+x)15}{2}$

90x20x2=$(90+x)15$

x = 150

Therefore the number of people wanted to finish the work = 150