a can do a work in 20 days and b can do work in 25 days. if they work on it together in how many days they will complete the work​

a can do a work in 20 days and b can do work in 25 days. if they work on it together in how many days they will complete the work​

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1 thought on “a can do a work in 20 days and b can do work in 25 days. if they work on it together in how many days they will complete the work​”

  1. Answer:

    11 days

    Step-by-step explanation:

    A’s 1 day’s work =

    25

    1

    Similarly, B’s 1 day’s work =

    20

    1

    A’s and B’s together 1 day’s work

    25

    1

    +

    20

    1

    =

    100

    4

    +

    100

    5

    =

    100

    4+5

    =

    100

    9

    Their 5 day’s work together = 5 x 1 day’s work

    1−

    100

    45

    =

    100

    100

    100

    45

    =

    100

    100−45

    =

    100

    55

    Now, this remaining work is done by B.

    Let B takes x days to complete it.

    20

    1

    ×x=

    100

    55

    ⇒x=

    100

    55

    ×20

    ⇒x=

    5

    55

    ⇒x=11

    Hence, B will finish the remaining work in 11 days.

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