# a and b can do a piece of work in 45 and 40 days respectively. they began the work together but a leaves after some days and b finished the remaining work in 23 days. after how many days did a leave?

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## A and B can do a work in 45 days and 40 days respectively. They began the work together but A left after sometime and B completed the remaining work in 23 days. After how many days of start of the work did A leave?

Click here👆to get an answer to your question ✍️ A and B can do a work in 45 days and 40 days respectively. They began the work together but A left after sometime and B completed the remaining work in 23 days. After how many days of start of the work did A leave?

Question

## A and B can do a work in 45 days and 40 days respectively. They began the work together but A left after sometime and B completed the remaining work in 23 days. After how many days of start of the work did A leave?

Easy Open in App Solution Verified by Toppr

Correct option is A)

A's 1 days' work =45 1 ,B's 1 days' work = 40 1

Suppose A left the work after x days of the start of the work. Then,

Work done by A in x days =

45 x

Work done by B in (x+23) days =

40 (x+23) Given, 45 x + 40 (x+23) =1⇒ 360 (8x+9x+207) =1 ⇒17x=360−207=153⇒x= 17 153 =9 days

∴A left after 9 days of start of work.

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## A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A left after some days and then B completed the remaining work in 23 days. Number of days A and B worked together isA. 8B. 7C. 12D. 9

A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A left after some days and then B completed the remaining work in 23 days. Number of days A and B worked together isA. 8B. 7C. 12D. 9

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A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A left after some days and then B completed the remaining work in 23 days. Number of days A and B worked together isA. 8B. 7C. 12D. 9

Question

A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A left after some days and then B completed the remaining work in 23 days. Number of days A and B worked together is

A 8 B 7 C 12 D 9 Open in App Solution

The correct option is **D**

9 ( A + B ) ′ s 1 day work = ( 1 45 + 1 40 ) = 17 360

Work done by B in 23 days

= ( 1 40 × 23 ) = 23 40 Remaining work = ( 1 − 23 40 ) = 17 40 Now , 17 360

work was done by (A + B) in 1 day.

17 40

work was done by (A + B)in 1

× 360 17 × 17 40 = 9 days Suggest Corrections 4

SIMILAR QUESTIONS

**Q.**

A can do a piece of work In 14 days while 13 can do it In 21 days. They began together and worked at It for 6 days. Then. A fell ill and B had to complete the remaining work alone. In how many days was the work completed?

**Q.**

A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A left after some days and then B completed the remaining work in 23 days. Number of days A and B worked together is:

**Q.**

A and B

can do a piece of work in

45 days and 40

days respectively. They begin together but

A

leaves after some days and

B

completes the rest in

23

days. For how many days did

A work ?

**Q.**

A

can do a piece of work in

9 days and B in 18

days. They began the work together but

3

days before the completion of work

A

leaves. The time taken to complete the work is:

## A and B can do a piece of work in 45 days and 40 days respectively

A and B can do a piece of work in 45 days and 40 days respectively. They began the work together but A left after some tirne and B completed the remaining work in 23 days. After how many days of work did A leave? a 10 days b 9 days c 8 days d 5 days

Previous Question Next Question Question :

## A and B can do a piece of work in 45 days and 40 days respectively. They began the work together but A left after some tirne and B completed the remaining work in 23 days. After how many days of work did A leave? a 10 days b 9 days c 8 days d 5 days

Answer :

## Correct option b 9 days Explanation: B complete total work in 23 days →23×9work done by A+B = 360-207 = 153They did it in 153/9+8 = 9 daysA left after 9 days

Related Answer

A and B can do a piece of work in 45 and 40 days respectively. They began the work together, but A leaves after some days and B finished the remaining work in 23 days. After how many days did A leave

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Guys, does anyone know the answer?