If Raju is assisted by Ramu and Razi every third day, then the number of days in which Raju will complete the work is 15 days.
<h3>What is Division?</h3>
The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Let the total unit of work be 60 units.
Given that Raju, Ramu, and Razi can do a piece of work in 20, 30, and 60 days respectively. Therefore, the rate at which three of them works can be written as,
Rate = Total Work/ Time
Rate of Raju = 60 units /20 days = 3 units per day
Rate of Ramu = 60 units /30 days = 2 units per day
Rate of Razi = 60 units /60 days = 1 units per day
The work completed on the first day will be,
Work completed = Rate × Time
= Rate of Raju × 1 day
= 3 units per day × 1 day
= 3 units
The work completed on the second day will be,
Work completed = Rate × Time
= Rate of Raju × 1 day
= 3 units per day × 1 day
= 3 units
The work completed on the third day will be,
Work completed = Rate × Time
= (Rate of Raju+ Rate of Ramu + Rate of Razi) × 1 day
= (3+2+1) units per day × 1 day
= 6 units
Therefore, every three days, 12 units every three days of work will be completed. Therefore, the number of times three of them need to work together is,
Number of times = 60 units / 12 units every three days = 5
Further, the number of days if they meet 5 times is,
Number of days = 3 × 5 = 15
Hence, If Raju is assisted by Ramu and Razi every third day, then the number of days in which Raju will complete the work is 15 days.
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