Question

A man and a boy complete a work together in 24 days. If for last 6 days man alone does the work. Then it is complete in 26 days. How long the boy will take to complete the work alone .​

Answer 1

Answer:

here is your answer

Step-by-step explanation:

36 days

Answer 2

$\mathcal\pink{Answer:}$

★According to question :

✠1 Men +1 Boy complete the work in 24 days.

✠ Last 6 days boy alone does work.

✠They worked together for 22 days (Because the whole work complete in 28 days).

★Solution :

⊙Assume total work = 24 units.

⊙(1 M+1 B) per day work = 1 unit

⊙1 M+18 do the work in 22 days = 22 units work

$\implies$Rest work =24−22units=2 units.

☑Rest work done by Boy in 6 days :

★Hence:

$\implies$per day work of boy =$\frac{2}{6}$=$\frac{1}{3}$

$\implies$Man per day work

=1−$\frac{1}{3}$=$\frac{2}{3}$

$\implies$man alone can do the work in

$\implies$Total work/eff. of man

$\implies$$\frac{24}{2}$×3=36days

∴Hence ,36 days is the answer .