‘A’ can do a work in 10 days and ‘B’ in 15 days. If they work on it together…

2023

‘A’ can do a work in 10 days and ‘B’ in 15 days. If they work on it together for 3 days, then the work that is left is :

  1. A.

    10%

  2. B.

    20%

  3. C.

    40%

  4. D.

    50%

Attempted by 76 students.

Show answer & explanation

Correct answer: D

Answer:

50%

Explanation:

Let the total work to be done is, say, 30 units.

A does the work in 10 days,

So A’s 1-day work = (30 / 10) = 3 units

B does the work in 15 days,

So B’s 1-day work = (30 / 15) = 2 units

Therefore, A’s and B’s together 1-day work = (3 + 2) = 5 units

In 3 days,

work done = 5 * 3 = 15 units

amount of work left = 30 – 15 = 15 units

Therefore the % of work left after 3 days = (15 / 30) * 100% = 50%

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