Question

2. If 25 men take 40 days to complete a piece of work, how long will 20 men take to
complete the same work?
a. 70 days
b. 60 days
c. 50 days
d. 55 days​

Answer 1

$\huge\bold{\mathtt{Question⇒}}$

25 men take 40 days to complete a piece of work, how long will 20 men take to complete the same work?

a. 70 days

b. 60 days

c. 50 days

d. 55 days

$\huge\bold{\mathtt{Given⇒}}$

25 men take 40 days to complete a piece of work.

$\huge\bold{\mathtt{To\:find⇒}}$

How long will 20 men take to complete the same work?

$\huge\bold{\mathtt{Solution⇒}}$

Time taken by 25 men

= 40 days.

Time taken by 1 man

= (40×25) days

= 1000 days

Time taken by 20 men

= $(\frac{1000}{20})$ days

= $(\frac{100\cancel{0}}{2\cancel{0}})$ days

= $(\frac{100}{2})$ days

= 50 days $\large\red{\:\:\:★}$

$\huge\bold{\mathtt{Hence⇒}}$

Time taken by 20 men = 50 days

$\huge\bold{\mathtt{Therefore⇒}}$

20 men will take 50 days to complete the work.

Correct option = c. 50 days

$\huge\bold{\mathtt{Done}}$

$\large\bold{\mathtt{Hope\:this\:helps\:you.}}$

$\large\bold{\mathtt{Have\:a\:nice\:day.}}$