Chapter SH, Problem 5.9MPS

To determine

To calculate:To find the number of hours to be run on each day so that the total run hours is $11$ hours per week.

  

Answer to Problem 5.9MPS

  $1.5$ hours were run on Monday, $3.5$ hours were run on Tuesday, $1.5$ hours were run on Thursday and $4.5$ hours were run on Saturday.

Explanation of Solution

Given information:

Given-

Total number of hours to be run per week $=$ $11$

Table -

  

Calculation:

Given-

Total number of hours to be run per week $=$ $11$

Table -

  

From the above table, we have:

Hours run on Monday $=$ $x$

Hours run on Tuesday $=$ $x+2$

Hours run on Thursday $=$ $x$

Hours run on Saturday $=$ $3x$

Thus, total hours run in the week $=$ Hours run on Monday $+$ Hours run on Tuesday $+$ Hours run on Thursday $+$ Hours run on Saturday

  $11$ $=$ $x$ $+$ $x+2$ $+$ $x$ $+$ $3x$

Solving further, we have:

  $\begin{array}{l}6x+2=11\\ 6x=9\\ x=1.5\end{array}$

Thus, Hours run on Monday $=x$

Hours run on Monday $=1.5$

Hours run on Tuesday $=$ $x+2$

Hours run on Tuesday $=$ $1.5+2=3.5$

Hours run on Thursday $=$ $x$

Hours run on Thursday $=1.5$

Hours run on Saturday $=$ $3x$

Hours run on Saturday $=$ $3\times 1.5=4.5$

Thus, $1.5$ hours were run on Monday, $3.5$ hours were run on Tuesday, $1.5$ hours were run on Thursday and $4.5$ hours were run on Saturday.

Conclusion:

  $1.5$ hours were run on Monday, $3.5$ hours were run on Tuesday, $1.5$ hours were run on Thursday and $4.5$ hours were run on Saturday.