- Math »
- A Can Do a Piece of Work in 12 Days. When He Had Worked for 2 Days B Joins Him. If the Complete Work was Finished in 8 Days, in How Many Days B Alone Can Finish the Work?

# A Can Do a Piece of Work in 12 Days. When He Had Worked for 2 Days B Joins Him. If the Complete Work was Finished in 8 Days, in How Many Days B Alone Can Finish the Work?

Check this step-by-step guide to find the number of days that B would take to complete the work alone.

by Ashnath Jeba

**Updated **Mar 20, 2024

**A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days, in how many days B alone can finish the work?**

Total number of days A will take to complete the work = 12

The work was completed in 8 days.

So, the work done by A in 8 days = 8 / 12 = 2 / 3

Let’s take the total work as 1.

The remaining work which was done by B = 1 - (2 / 3)

==> (3 - 2) / 3

==> 1 / 3

Here B is joining the work 2 days after A started the work.

So, the number of days B worked = 8 - 2 = 6

To find the number of days B would take to complete the work alone, you need to divide the work done by B from the number of working days.

==> 6 / (1 / 3)

==> 6 (3) = 18

The number of days B needs to finish the work is **18 days.**

**Explanation of the Method**

In this problem, we need to calculate the number of days that person B takes to complete a work alone. We have used the concepts of work done and time to solve the problem.

We had to determine the work done by A and B separately. By breaking down the whole work done by the two people as fractions, we can find the solution to this problem.

## Recent Updates

- In How Many Ways Can 8 People Be Seated Around a Circular Table?
- How much 60% of 50 is Greater than 40% of 30?
- An Exporter Expects A Gain of 22.5% on His Cost Price. If in a Week, His Sale was of Rs...
- Riley is placing the game board shown on his bedroom wall. What area of the wall will t...
- Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevati...
- Yuto and Lian are at train stations 1,880 kilometers apart. Yuto boards a train heading...
- Aman’s salary is first increased by 25% and then decreased by 20%. The result is the ...
- P and S can complete a piece of work in 20 and 15 days respectively. They worked togeth...
- Each day that a library book is kept past its due date, a $0.30 fee is charged at midni...
- Teri goes shopping for some new clothes and then out to lunch with a friend. She spends...
- Two pipes A and B can fill a tank is 8 minutes and 14 minutes respectively. If both the...
- A and B stand at distinct points of a circular race track of length 135 m. They cycle a...
- The image of a candle flame placed at a distance of 30 cm from a mirror is formed on a ...
- The Angle of Elevation of a Ladder Leaning Against a Wall is 60° and the Foot of the L...
- In pea plants, Tall plant height is dominant over short plant height. If there are 200 ...