rupesh completes a work in 3 days and sakshi completes it in 1 day only ..if they both complete the work in 15 days then how many days rupesh took in completing the work ??
I answered a similar question not long ago. Here is the solution to that:
The rate to do a piece of work from each:
Tom = 1/3 and Jerry = 1/1 or 1
Add: 1/3 + 1 = 1 1/3 or 4/3 (improper fraction)
4/3 * 15 = 20
This means that it will take 20 pieces of work to complete the job.
Therefore, Tom will finish the work in 20*3 = 60 days.
Keep in mind that it takes "Rupesh" three times as long to do the job.
To calculate the number of days Rupesh took to complete the work, we need to understand their relative work rates.
Let's assume that the total work is represented by the variable 'W'. We know that Rupesh completes this work in 3 days, and Sakshi completes it in 1 day.
Rupesh's work rate can be calculated as (1 work) / (3 days) = 1/3 work per day.
Sakshi's work rate can be calculated as (1 work) / (1 day) = 1 work per day.
Now, let's consider that they both worked together for 15 days to complete the work. In this scenario, their combined work rate is calculated by adding their individual work rates:
Combined work rate = Rupesh's work rate + Sakshi's work rate
= 1/3 work per day + 1 work per day
= (1 + 3)/3 work per day
= 4/3 work per day.
Since they both worked together for 15 days, we can calculate the total work done by multiplying the combined work rate by the number of days:
Total work = Combined work rate × Number of days
= (4/3 work per day) × 15 days
= 20 work.
Now, we can find out how many days Rupesh took to complete the work by using his individual work rate:
Total work = Rupesh's work rate × Number of days taken by Rupesh
= (1/3 work per day) × Number of days taken by Rupesh.
Since we know the total work is equal to 20, we can solve for the number of days taken by Rupesh:
20 = (1/3 work per day) × Number of days taken by Rupesh
By cross multiplying, we get:
Number of days taken by Rupesh = (20 × 3) / 1
= 60 days.
Therefore, Rupesh took 60 days to complete the work.