Question

Abdul can finish a work in 4 days and rakesh can finish the work of same work in 8days find the number of days required by Abdul and rakesh to finish the work if they work together

Answer 1

Number of days required by Abdul and Rakesh to finish the work if they work together is $\dfrac{8}{3}=2\dfrac{2}{3}$ days.

Step-by-step explanation:

Since we have given that

Time taken by Abdul = 4 days

Time taken by Rakesh = 8 days

Work done by Abdul = $\dfrac{1}{4}$

Work done by Rakesh = $\dfrac{1}{8}$

According to question, it becomes,

Total work done by them is given by

$\dfrac{1}{4}+\dfrac{1}{8}\\\\=\dfrac{2+1}{8}\\\\=\dfrac{3}{8}$

As we know that work is inverse of time taken.

So, Number of days required by Abdul and Rakesh to finish the work if they work together is $\dfrac{8}{3}=2\dfrac{2}{3}$ days.

# learn more:

A and B together can do a piece of work in 6days If B alone can finish the work in 8days how many days will A take to finish the work alone​

https://brainly.in/question/15189699?answeringSource=feedToOptimize%2FhomePage

Answer 2

The total number of days Abdul and Rakesh work together = $\dfrac{8}{3}$ days

Step-by-step explanation:

Given,

Abdul can finish a work = 4 days and

Rakesh can finish a work = 8 days

To find, the total number of days Abdul and Rakesh work together = ?

Abdul can finish a work = 4 days

Abdul's 1 day's work = $\dfrac{1}{4}$

Rakesh's 1 day's work = $\dfrac{1}{8}$

∴ (Abdul + Rakesh)'s 1 day's work = $\dfrac{1}{4} +\dfrac{1}{8}$

= $\dfrac{2+1}{8}$

= $\dfrac{3}{8}$

∴ The total number of days Abdul and Rakesh work together = $\dfrac{8}{3}$ days