SOLUTION: Murat walks from his home to school at 6km/h and gets a ride back home at 44km/h. If his total travelling time is half an hour, how long did it take Murat to walk to school and how

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Murat walks from his home to school at 6km/h and gets a ride back home at 44km/h. If his total travelling time is half an hour, how long did it take Murat to walk to school and how      Log On


   

Question 316290: Murat walks from his home to school at 6km/h and gets a ride back home at 44km/h. If his total travelling time is half an hour, how long did it take Murat to walk to school and how far was it?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
6%2AT1=D
44%2AT2=D
So then
6%2AT1=44%2AT2
Total time equation,
T1%2BT2=0.5
6T1%2B6T2=3
Substitute for 6T1
44T2%2B6T2=3
50T2=3
T2=3%2F50
.
.
.
6T1=44T2=%2844%283%29%29%2F50
T1=%2844%283%29%29%2F%286%2850%29%29
T1=11%2F25
11/25 of an hour is about 26.4 minutes.
Distance=Rate*Time
D=6(11/25)=2.64 km