Math, asked by neyantalama4031, 1 year ago

A, b and c can do a piece of work in 30, 20 and 10 days respectively. A is assisted by b on one day and by c on the next day, alternately. How long would the work take to finish?

Answers

Answered by sanjana9876
6
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Answered by dk6060805
3

9\frac {3}{8} days Work will be Completed

Step-by-step explanation:

  • First day A+B worked = 2+3 = 5 units
  • Second Day A + C Worked = 2 + 6 = 8 units
  • Third Day A + B Worked = 5 units
  • In one cycle work is completed = 13 units

It will continue at last, work will finish in

\frac {60}{13(8+5)}= 4\ cycle

and 8 units of work is left.

Now, A will do with 'B' and they will complete 5 units.

  • Remaining 3 units will be done by A and C in
  • Total Time = 4 cycle \times 2 = 8 days

A + B = 1 days

A + C = \frac {3}{8} days

Thus, Total Time = 8 days + (A+B)'s days + (A+C)'s days

= 8 + 1 + \frac {3}{8}

= 9\frac {3}{8} days

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