Question

if Ajay and Vijay together can paint a hall in 6 days . Ajay alone can paint it in 8 days . in how many days can Vijay alone paint it ? ​

Answer 1

Answer:

15 days vijay will take to paint the hall alone

Answer 2

Vijay alone can paint the wall in 24 days.

Given:

Time taken by Ajay and Vijay together = 6 days

Time taken by Ajay alone = 8 days

To find: Time taken by Vijay alone

Solution:

According to the question,

Time taken by Ajay and Vijay together = 6 days

⇒ Portion of wall painted by Ajay and Vijay in one day = 1/6

Now,

Time taken by Ajay alone to paint the wall = 8 days

⇒ Portion of wall painted by Ajay alone in one day = 1/8

⇒ Portion of wall painted by Vijay alone in one day = Portion painted together - portion painted by Ajay

⇒ Portion painted by Vijay alone in one day = 1/6 - 1/8 = 1/24

⇒ Portion painted in 1 day = 1/24

⇒ Time taken to paint the whole wall = 24 days

∴ Vijay alone can paint the wall in 24 days.

SPJ2