Question

if 20 men complete one third of a piece of work in 20 days,how many more men should be employed finish the rest of the work in 25 days?
a.32
b.12
c.26
d.16​

Answer 1

Answer:

12 Men

Step-by-step explanation:

Using Rule of Three,

Men Work Time (Days)

20 1/3 20

? (1 - 1/3) = 2/3 25

This a direct relations between Men and work and a inverse relation between Men and time.

So,

Required No. of Men

$20 \times \frac{ \frac{2}{3} }{ \frac{1}{3} } \times \frac{20}{25} \\ \\ 20 \: \times \: \frac{2}{3} \times \frac{3}{1} \times \frac{20}{25} \\ \\ 20 \times \frac{2}{ \cancel{3}} \times \frac{\cancel{3}}{1} \times \frac{20}{25} \\ \\ \frac{800}{25} \\ \\ \frac{\cancel{800}}{ \cancel{25}} = 32$

The More Men required = 32 - 20 = 12.