A and B working separately can do a piece of work in 9 and 15 days respectively. If they work for a day alternately, with A beginning, then the work will be completed in:
  • 19
  • 210
  • 311
  • 412
Answer:- 1
Explanation:-

Solution:
Work rate of A =
1009
= 11.11% work per day
Work rate of B =
10015
= 6.66% work per day

They together can do (A + B) = 11.11 + 6.66 = 18% work per day
They are working in alternate day, so we take 2 days = 1 unit of day
Therefore, in one unit of day they can complete 18% of work
(A + B) can complete 90% of work in 5 units of days. i.e. (5 × 18)
And the rest 10% work will be completed by A in Next day
So, total number of day,
= 5 Unit of days + 1 day of A
= 2 × 5 + 1 = 11 days

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= 11.11% work per day
Work rate of B =
10015
= 6.66% work per day

They together can do (A + B) = 11.11 + 6.66 = 18% work per day
They are working in alternate day, so we take 2 days = 1 unit of day
Therefore, in one unit of day they can complete 18% of work
(A + B) can complete 90% of work in 5 units of days. i.e. (5 × 18)
And the rest 10% work will be completed by A in Next day
So, total number of day,
= 5 Unit of days + 1 day of A
= 2 × 5 + 1 = 11 days ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "
Solution:
Work rate of A =
1009
= 11.11% work per day
Work rate of B =
10015
= 6.66% work per day

They together can do (A + B) = 11.11 + 6.66 = 18% work per day
They are working in alternate day, so we take 2 days = 1 unit of day
Therefore, in one unit of day they can complete 18% of work
(A + B) can complete 90% of work in 5 units of days. i.e. (5 × 18)
And the rest 10% work will be completed by A in Next day
So, total number of day,
= 5 Unit of days + 1 day of A
= 2 × 5 + 1 = 11 days ", "dateCreated": "7/24/2019 10:09:12 AM" } }
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