## PhiBeeandJay 2 years ago Help! Ivan walks to school one mile/hr. faster than when he walks back home. If it takes him 12 min. (0.20 hr.) to walk to school and 18 min. (0.30 hr.) to walk back, how fast does he walk to school and how far does he have to walk to school?

1. gerryliyana

@PhiBeeandJay u can use the simply formula: v = s/t where v is speed, s is distance or displacement, and t is time

2. gerryliyana

@PhiBeeandJay u got it??

3. gerryliyana

4. PhiBeeandJay

I'm trying to come up with equation you just gave me.

5. Mathmuse

Distance is your constant value so you can set the to and from school distances equal to each other: \[s_1=s_2\] use the equation that @gerryliyana gave you but in a different form so that you can get rid of the distance. You will also have to introduce a variable x is the speed that Ivan walks home from school: \[s_1*t_1=s_2*t_2\] \[(x+1)*0.2=x*0.3\]

6. gerryliyana

vs = 1 mil/hr + vh s/0.2 = 1+ (s/0.3) So s?? (where vs is speed Ivan walks to school , and vh is speed he walks back home )

7. PhiBeeandJay

do I multiply by 0.2 on both sides now?

8. gerryliyana

yess

9. gerryliyana

@PhiBeeandJay : So What Did You Get?