Chapter 8.5, Problem 46PPS

To determine

How long it take to finish 26.2 miles.

Answer to Problem 46PPS

  $\text{253}\text{.27}\text{minutes}$

Explanation of Solution

Given:

She ran the first 6 miles of marathon in 58 minutes.

Concept Used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to find the time she will take to finish 26.2 miles, use the unitary method and simplify further as shown below,

  $\begin{array}{c}6\text{miles can run}=58\text{minutes}\\ 1\text{mile will run}=\frac{58}{6}\text{minutes}\\ \text{So, 26}\text{.2miles will run}=\frac{58}{6}\times 26.2\\ \text{=253}\text{.27minutes}\end{array}$

Thus, she will take $\text{253}\text{.27}\text{minutes}$ to finish.