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“Anurag”, “Bala” and “Charu” can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?12 days15 days16 days18 days

Question

“Anurag”, “Bala” and “Charu” can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?12 days15 days16 days18 days

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Solution 1

Let's solve this step by step:

  1. First, we need to find out the one day's work of Anurag, Bala, and Charu.

    Anurag's one day's work = 1/20 Bala's one day's work = 1/30 Charu's one day's work = 1/60

  2. Now, let's find out the combined work of Anurag, Bala, and Charu in one day.

    Combined one day's work = Anurag's one day's work + Bala's one day's work + Charu's one day's work = 1/20 + 1/30 + 1/60 = 1/10

  3. Now, let's find out the work done by Anurag in two days and by all three on the third day.

    Work done in three days = 2*(Anurag's one day's work) + Combined one day's work = 2*(1/20) + 1/10 = 1/10 + 1/10 = 1/5

  4. So, the work done in three days is 1/5. Now, let's find out the total number of days Anurag will take to complete the work if he is assisted by Bala and Charu on every third day.

    Total days = (Total work / Work done in three days) * 3 = (1 / 1/5) * 3 = 5 * 3 = 15 days

So, Anurag can do the work in 15 days if he is assisted by Bala and Charu on every third day.

This problem has been solved

Solution 2

Let's solve this step by step:

  1. First, we need to find out the one day's work of Anurag, Bala, and Charu.

    Anurag's one day's work = 1/20 Bala's one day's work = 1/30 Charu's one day's work = 1/60

  2. Now, let's find out the combined work of Anurag, Bala, and Charu in one day.

    Their combined one day's work = 1/20 + 1/30 + 1/60 = 1/10

  3. According to the problem, Anurag is assisted by Bala and Charu every third day. So, for the first two days, only Anurag works and on the third day, all of them work together.

    Work done in three days = 2*(1/20) + 1*(1/10) = 1/10

  4. Therefore, the work done in one day = 1/10 / 3 = 1/30

  5. So, Anurag can complete the work in 30 days if he is assisted by Bala and Charu every third day.

So, the correct answer is not in the options given.

This problem has been solved

Solution 3

Let's solve this step by step:

  1. First, we need to find out the one day's work of Anurag, Bala, and Charu.

    Anurag's one day's work = 1/20 Bala's one day's work = 1/30 Charu's one day's work = 1/60

  2. Now, let's find out the combined work of Anurag, Bala, and Charu in one day.

    Combined one day's work = Anurag's one day's work + Bala's one day's work + Charu's one day's work = 1/20 + 1/30 + 1/60 = 1/10

  3. Now, let's find out the work done by Anurag in two days and by all three on the third day.

    Work done in three days = 2*(Anurag's one day's work) + Combined one day's work = 2*(1/20) + 1/10 = 1/10 + 1/10 = 1/5

  4. So, the work done in three days is 1/5. Let's find out the total number of days Anurag will take to complete the work with the help of Bala and Charu every third day.

    Total days = (5/1)*3 = 15 days

So, Anurag can do the work if he is assisted by Bala and Charu on every third day in 15 days.

This problem has been solved

Solution 4

Let's solve this step by step:

  1. First, we need to find out the one day's work of Anurag, Bala, and Charu.

    Anurag's one day's work = 1/20 Bala's one day's work = 1/30 Charu's one day's work = 1/60

  2. Now, let's find out the combined work of Anurag, Bala, and Charu in one day.

    Combined one day's work = Anurag's one day's work + Bala's one day's work + Charu's one day's work = 1/20 + 1/30 + 1/60 = 1/10

  3. Now, let's find out the work done by Anurag in two days and by all three on the third day.

    Work done in 3 days = 2*(Anurag's one day's work) + Combined one day's work = 2*(1/20) + 1/10 = 1/10 + 1/10 = 1/5

  4. So, the work done in 3 days is 1/5. Let's find out the total time taken to complete the work.

    Let the total time taken to complete the work be 'x' days.

    As the cycle of work repeats every 3 days, we can say that the work done in '3x' days is 'x/5'.

    Therefore, the total time taken to complete the work is 15 days.

So, the correct answer is 15 days.

This problem has been solved

Solution 5

Let's solve this step by step:

  1. First, we need to find out the one day's work of Anurag, Bala, and Charu.

    Anurag's one day work = 1/20 Bala's one day work = 1/30 Charu's one day work = 1/60

  2. Now, let's find out the combined work of Anurag, Bala, and Charu in one day.

    Combined one day work = Anurag's one day work + Bala's one day work + Charu's one day work = 1/20 + 1/30 + 1/60 = 1/10

  3. Now, let's find out the work done by Anurag in two days and by all three on the third day.

    Work done in three days = 2*(Anurag's one day work) + Combined one day work = 2*(1/20) + 1/10 = 1/10 + 1/10 = 1/5

  4. So, the work done in three days is 1/5. Now, let's find out the total time taken to complete the work.

    Total time = Total work / Work done in three days = 1 / (1/5) = 5

    But this is in terms of the three-day cycle. So, the total time in days = 5 * 3 = 15 days.

So, Anurag can do the work in 15 days if he is assisted by Bala and Charu on every third day.

This problem has been solved

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