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Vikram and Vivek can finish a work in 50...

Vikram and Vivek can finish a work in 50 days. They worked together for 20 days and then left. How much work has been done by them?

A

`3//5`

B

`1//3`

C

`1//2`

D

`2//5`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we need to determine how much work Vikram and Vivek have completed together in the 20 days they worked. ### Step 1: Determine the work rate of Vikram and Vivek together. Since Vikram and Vivek can finish the work in 50 days, we can say that their combined work rate is: \[ \text{Work Rate} = \frac{1 \text{ (complete work)}}{50 \text{ days}} = \frac{1}{50} \text{ work/day} \] ### Step 2: Calculate the total work done in 20 days. Now, if they worked together for 20 days, the amount of work they completed in that time can be calculated as: \[ \text{Work Done} = \text{Work Rate} \times \text{Number of Days Worked} = \frac{1}{50} \times 20 \] ### Step 3: Perform the multiplication. Calculating this gives: \[ \text{Work Done} = \frac{20}{50} = \frac{2}{5} \] ### Step 4: Conclusion Thus, the total work done by Vikram and Vivek together in 20 days is \(\frac{2}{5}\) of the entire work. ### Final Answer: The amount of work done by them is \(\frac{2}{5}\). ---
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