Question

Anil can do the piece of work in 16 days which shashi can finish in 24days If they work on alternate days with Anil starting In how many days the work will be finished ​

Answer 1

Given : Anil can do the piece of work in 16 days which shashi can finish in 24days

If they work on alternate days with Anil starting

To find :   In how many days the work will be finished ​

Solution:

Anil can do the piece of work in 16 days

=> Anil  1 Day  work  = 1/16

   

Shashi can do the piece of work in 24 days

=> Shashi 1 Day  work  = 1/24

   

Together 2 day work ( if they do alternate )  = 1/16 + 1/24

= ( 3 + 2)/48

= 5/48  

1 Day work  = 5/96

days required = 96/5 = 19.2

But every day work is not equal     ( every 2 days work is equal )

Hence work done in 18 Days = 18 * 5/96

= 90/96

= 15/16

Work left after that = 1 - 15/16 = 1/16  ( Equal to the work done by Anil in 1  day)

Hence Work will be completed in 19 Days

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Answer 2

Given :-

• Anil can do a piece of work in = 16 days.
• Shashi can finish in = 24 days.
• Anil starts the work and the work on alternate days.

To Find :-

• In how many days the work will be finished ?

Solution :-

LCM of (16 and 24) = 48 units = Let total work .

so,

→ Efficiency of Anil = (Total work) / (Total days) = 48/16 = 3 unit/day .

→ Efficiency of Shashi = (Total work) / (Total days) = 48/24 = 2 unit/day .

then,

→ In first day, Anil completes work = 3 unit .

→ In second day, Shashi completes work = 2 unit .

therefore,

→ 5 units of work completes in = 2 days .

→ 45 units of work completes in = 2 * 9 = 18 days.

so ,

→ On 19th day , it turns of Anil now and he completes = 3 units .

∴

→ In 19 days work completes = 45 + 3 = 48 units = Total work.

Hence, The work will finished in 19 days.

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