MATH SOLVE

2 months ago

Q:
# | 15. Aliyah runs approximately 5.4 miles per hour.She is training for a half-marathon and plansto run 9 miles on Tuesday and 12 miles onThursday. How many minutes longer will herrun be on Thursday compared to Tuesday?

Accepted Solution

A:

Answer: 33.33 minutes longer.Step-by-step explanation : We need to remember the following formula: Β [tex]t=\frac{d}{V}[/tex] Where "t" is the time, "d" is the distance and "V" is the speed. We know that she runs approximately 5.4 miles per hour, then: [tex]V=5.4\ \frac{mi}{h}[/tex] Since she plans to run 9 miles on Tuesday, her run's time on Tuesday will be: [tex]t_1=\frac{9\ mi}{5.4\ \frac{mi}{h}}\\\\t_1=\frac{5}{3}\ h[/tex] Making the conversion from hours to minutes, we get: [tex](\frac{5}{3}\ h)(\frac{60\ min}{1\ h})=100\ min[/tex] Since she plans to run 12 miles on Thursday, her run's time on that day will be: [tex]t_2=\frac{12\ mi}{5.4\ \frac{mi}{h}}\\\\t_2=\frac{20}{9}\ h[/tex] Making the conversion from hours to minutes, we get: [tex](\frac{20}{9}\ h)(\frac{60\ min}{1\ h})=133.33\ min[/tex] Finally in order to find how many longer will her run be on Thursday compared to Tuesday, we need to make the following subtraction: [tex]t_2-t_1=133.33\ min-100\ min=33.33\ min[/tex]