Question

A and B can do the same work together in 8 days which A can do on his own in 12 days how many days will B take to do the work alone​

Answer 1

Answer :

Number of days B take to complete this work = 24 days.

Step - by - Step Explanation :

Let's assume b takes x days to complete this work.

So, the work done by 'A' in a day be 1/12

°•° the work done by 'A' in 8 day be ( 8 × 1/12 ) = 8/12

According to the Question's Statement!

Statement : "A and B can do the same work together in 8 days".

• 1/A + 1/B = 1/8

• 1/12+ 1/B = 1/8

• 1/B = 1/8 - 1/12

• 1/B = 3-2/24

• 1/B = 1/24

• B = 24 days

Therefore , Required Numberof days B take to complete this work = 24 days.

Answer 2

Step - By - Step Explanation :

Let b takes B days to complete it work.

Then, the work done by (A) in a day be 1/12

So, the work done by 'A' in 8 day = 8/12

If, A and B can do the same work together in 8 days. Then,

1/A + 1/B = 1/81/12+ 1/B = 1/8

=> 1/B = 1/8 - 1/12

=> 1/B = 1/24

=> B = 24 days

Hence, Number of days B take to complete it work = 24 days.