Word problem help

Question

As part of an exercise regimen, you walk 2 miles on an indoor track. Then you job at twice your walking speed for another 2 miles. If the total time spent walking and jogging is 1 hour, find the walking and jogging rates.

Answer 1

suppose

your walking rate is x miles/hour

your jogging rate is 2x miles/hour

 

Time needed for 2 mile walking = t₁

Time needed for 2 mile jogging = t₂

 

write it in a ratio form

 

t₁ /1 =  2 / x      (equation 1)

 

t₂/1 = 2/2x       (equation 2)

 

total time spent for walking and jogging is 1 hour

 

t₁ + t₂ = 1    (equation 3)

 

add Equation 1 & 2

2/x  +2/2x  = t₁+t₂ =1

3/x  = 1

x= 3 miles/hour ;  walking speed

 2x= 6 miles/hour; jogging speed