Chapter 6.5, Problem 2GP

To determine

To find how long will it take for Jared and Clementine to have worked for same number of hours.

Answer to Problem 2GP

The required time is 28 days.

Explanation of Solution

Given:

Jared has worked for 70 hours and plans to work 2.5 hours per day.

  $(70+2.5x)$ hours

And, Clementine plans to work for 5 hours per day.

  $5x$ hours

Calculation:

Let, x be the total number of days, after which the work hours of Jared and Clementine will be equal.

Jared has worked for 70 hours and plans to work 2.5 hours per day, which means,

  $(70+2.5x)$ hours

And, Clementine plans to work for 5 hours per day, which means,

  $5x$ hours

According to the question,

  $\begin{array}{l}\Rightarrow 70+2.5x=5x\\ \Rightarrow 2.5x=70\\ \Rightarrow x=\frac{70}{2.5}\\ \Rightarrow x=28\end{array}$

After working for 28 days Jared and Clementine working hours will be equal.

Conclusion:

The required time is 28 days.