Question

13) Anil can do a piece of work in 16 days which Shashi
can finish in 24 days. If they work on alternate days with
Anil starting, in how many days the work will be finished?​

Answer 1

Answer:

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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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