Question

Anil
can do a piece of work in 16 days which
Shashi can finish in 24 days. If they
altermate days with Anil
starting
how many days the
be finished?
​

Answer 1

Answer:

May be 16 days

is it right.

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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