Barbara David
Barbara and David can finish a piece of work in 10 and 20 days respectively. If this work is done by both of them on alternate days (starting with Barbara), how many days will it take for them to finish the work?


Answer:

13 days

Step by Step Explanation:
  1. 10 = rem
    m = 10
    n = 5
  2. Barbara takes 10 days to finish the work. So in 1 day, she finishes 110 of the work.
  3. David takes 20 days to finish the work. So in 1 day, he finishes 120 of the work.
  4. Since the work is done on alternate days, so the work done in two days =110+120=2+120=320
  5. Multiply 320 by number such that it is less than or equal to 1.
    The work done in 12 days =6×320=910
  6. Remaining work =1910=110
  7. Since, they work in alternate days, on 13th day remaining work 110 is done by Barbara.
  8. Thus, they will take 13 days to finish the work.

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