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    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?

    Mohammed

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    get 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? from screen.

    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:

    स्रोत : byjus.com

    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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