as part of an exercise regimen you walk 9 miles on an indoor track. then you jog at three times your walking speed for another 9 miles. if the total time spent walking and jogging is 4 hours, find the walking and jogging rates
Mathematics · College · Thu Feb 04 2021
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given that:- you walk 9 miles on track, then you jog at three times your walking speed for another 9 miles
now, let the walking speed = x and jogging speed =3x
find:- if the total time spent walking and jogging is 4 hours, find the walking and jogging rates=?
now, we now that formula of distance=time*speed
from here, time=distance/speed
let time rate taken for walking and jogging is t then,
time (t)= 9/x (distance/time) ……….equation 1 [formula applied for walking on tack]
time (t)=9/3x =3/x ………..equation 2 [formula applied for jogging]
now, total time taking for jogging and waking is 4 hours
t=9/x+3/x
4=12/x
4x=12
x=12/4
x=3
now, put this value in equation 1 => t=9/x
t=9/3
t(walking rate)=3hour
now, put this value in equation 2 => t=9/3x
t=9/3*3
t=9*9
t(jogging rate)=1 hour