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- X And Y Can Do a Piece of Work in 20 Days and 12 Days Respectively. X Started The Work Alone and Then After 4 Days, Y Joined Him Till The Completion of The Work.

# X And Y Can Do a Piece of Work in 20 Days and 12 Days Respectively. X Started The Work Alone and Then After 4 Days, Y Joined Him Till The Completion of The Work.

If you are trying to find the X and Y how long did the work last, keep reading this to know the answer.

by Alaguvelan M

**Updated **Mar 18, 2024

X And Y Can Do a Piece of Work in 20 Days and 12 Days Respectively. X Started The Work Alone and Then After 4 Days, Y Joined Him Till The Completion of The Work. How Long Did The Work Last?

Here, X and Y do work on separate days. X started the work some of the day and later Y joined the work, now we found how many days to complete the work.

**Explanation:**

Given X does work in 20 days and later Y joined the work in 12 days. But X starts the work alone and later Y will join after 4 days.

**Here are the solutions:**

X done the work in 4 days = (1/20 *4) = **1/5**

Remaining work day = (1/5 - 1) = **4/5**

(X + Y) To combined effort of both X and Y individuals working together for 1 day = (1/12 + 1/20) = 8/60 = **2/15**

So the remaining 4/5 work day, work well be done both X and Y in (15/2 * 4/5) = **6 days**

X and Y to take time to complete the work =(6 + 4) = **10 Days**

## X And Y Can Do a Piece of Work in 20 Days and 12 Days Respectively - FAQs

1. How long does it take for X to complete the work alone?

X completes the work alone in 20 days.

2. When does Y join the work?

Y joins the work after 4 days, and X and Y work together until the completion of the task.

3. How Long Did The Work Last?

X and Y to take time to complete the work =(6 + 4) = 10 Days.

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