Question

If Kamila can do a job in 26 hours and Simon and Kamila working together can do the same job in 9 hours , find how long it takes Simon to do the job alone

Answer 1

Answer:

Simon takes approximately 13.76 hours to complete the job alone.

Step-by-step explanation:

We are given the following in the question:

Kamila can do a job in 26 hours  

So, part of work done by Kamila in 1 hour =

$\dfrac{1}{26}$

Simon and Kamila working together can do the same job in 9 hours .

So, (Simon and Kamila)'s 1 hour work =

$\dfrac{1}{9}$

So, Simon's 1 hour work =

$\dfrac{1}{9}-\dfrac{1}{26}=\dfrac{17}{234}$

So,

Simon can do $\frac{17}{234}$ part of work in hour = 1

Time taken by Simon to complete the job alone =

$\dfrac{1}{\frac{17}{234}}=\dfrac{234}{17}\approx 13.76 \text{ hours}$

Thus, Simon takes approximately 13.76 hours to complete the job alone.