Barbara David
Barbara and David can finish a piece of work in 1010 and 2020 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:

1313 days

Step by Step Explanation:
  1. 10 = rem
    m = 10
    n = 5
  2. Barbara takes 1010 days to finish the work. So in 11 day, she finishes 110110 of the work.
  3. David takes 2020 days to finish the work. So in 11 day, he finishes 120120 of the work.
  4. Since the work is done on alternate days, so the work done in two days =110+120=2+120=320=110+120=2+120=320
  5. Multiply 320320 by number such that it is less than or equal to 1.1.
    The work done in 1212 days =6×320=910=6×320=910
  6. Remaining work =1910=110=1910=110
  7. Since, they work in alternate days, on 13th13th day remaining work 110110 is done by Barbara.
  8. Thus, they will take 1313 days to finish the work.

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