Answer:
Rate of walking is [tex]3 \ mi/hr[/tex] and Rate of Jogging is [tex]9\ mi/hr[/tex].
Step-by-step explanation:
Given:
Total time = 4 hours
Jogging distance = 9 miles
walking distance = 9 miles
We need to find the walking and jogging rates.
Solution:
Let the walking rate be 'x'.
Now given that;
Jogging rate is 3 times faster than walking rate.
Jogging rate = [tex]3x[/tex]
Now we know that;
Time is equal to distance divided by speed.
Time for walking = [tex]\frac{9}{x}[/tex]
Time for Jogging = [tex]\frac{9}{3x} = \frac{3}{x}[/tex]
Now we know that:
Total time is equal to sum of Time for walking and Time for Jogging.
framing in equation form we get;
[tex]\frac{9}{x}+\frac{3}{x}=4\\\\\frac{9+3}{x}=4\\\\\frac{12}{x}=4\\\\\frac{12}{4}=x\\\\x =3\ mi/hr[/tex]
Rate of walking = [tex]3 \ mi/hr[/tex]
Rate of Jogging = [tex]3x=3\times3 = 9 \ mi/hr[/tex]
Hence Rate of walking is [tex]3 \ mi/hr[/tex] and Rate of Jogging is [tex]9\ mi/hr[/tex].
