Respuesta :
Let the speed of walking of James = x mile/hour
speed of jogging = 2x mile/hour
9/2x + 1.5/x = 2
or, (9 + 3)/2x = 2
or, 12 = 4x
or, x = 3
Average speed of walking = 3 mile/hour
Average speed of jogging = 2 * 3 = 6 mile/hour
The average jogging speed of James is [tex]\boxed{6\text{ miles per hour}}[/tex].
Further explanation:
Given:
Total distance travelled by james while jogging is [tex]9\text{ miles}[/tex].
Total distance travelled by James while walking is [tex]1.5\text{ miles}[/tex].
Total time taken by James is [tex]2\text{ hours}[/tex].
Formula used:
The time required to cover a distance of [tex]d[/tex] at a speed of [tex]s[/tex] is calculated as follows:
[tex]\boxed{t=\dfrac{d}{s}}[/tex]
Calculation:
Consider the walking speed of James as [tex]x[/tex] miles per hour and the jogging speed as [tex]2x[/tex] miles per hour.
Time taken to cover the distance of [tex]9\text{miles}[/tex] at a speed of [tex]2x[/tex] miles per hour can be calculated as follows:
[tex]\boxed{t_{1}=\dfrac{9}{2x}}[/tex]
Here, [tex]t_{1}[/tex] is time taken to cover the distance [tex]9\text{miles}[/tex].
Time taken to cover the distance of [tex]1.5\text{miles}[/tex] at a speed of [tex]x[/tex] miles per hour can be calculated as follows:
[tex]\boxed{t_{2}=\dfrac{1.5}{x}}[/tex]
Here, [tex]t_{2}[/tex] is time taken to cover the distance [tex]1.5\text{ miles}[/tex].
Total time taken to cover the total distance is [tex]2\text{ hour}[/tex].
The above expression is represented in equation form as,
[tex]\begin{aligned}\dfrac{9}{2x}+\dfrac{1.5}{x}&=2\\ \dfrac{9+(2\times1.5)}{2x}&=2\\9+3&=4x\\x&=\dfrac{12}{4}\\x&=3\end{aligned}[/tex]
Therefore the speed of walking is [tex]3\text{ miles per hour}[/tex].
The speed of jogging is twice the speed of walking so, the speed of jogging is calculated as follows:
[tex]\boxed{2\times 3=6}[/tex]
Therefore, the average jogging speed of James is [tex]6[/tex] miles per hour.
Thus, the average jogging speed of james is [tex]\boxed{6\text{ miles per hour}}[/tex].
Learn more:
1. Solution of linear equation: //brainly.com/question/1682776
2. Magnitude of the speed https://brainly.com/question/1597065
Answer details:
Grade: Middle school.
Subject: Mathematics.
Chapter: Speed and distance.
Keywords: Speed , acceleration , distance cover, 9 mi, 1.5 mi. jogging speed, walking speed, James, Average, time, grandmother’s house.
