Billye ran to town at 8 kilometers per hour and then walked back home at 3 kilometers per hour. How far was it to town if the round trip took 11 hours?

Question

anonymous · Answer

got anything?

mysesshou · Answer

sorry computer slow. many windows open, jumped to another screen while loaded.  -_-
ok. give sec

anonymous · Answer

K

mysesshou · Answer

8km/h  to town
3km/h to home
distance = ?
time = 11h
distance = rate*time

Let D = the distance to town

D/(8km/h) + D/(3km/h) = time

(3km/h)* D + (8km/h) *D = time *(8 * 3)

11 km/h * D = 24km/h * 11hr

D = 24 km  to the town
 

to check: 

time = distance/rate

24km/(8km/h)  + 24km/(3km/h) = 3h + 8h = 11h


how does that seem?

mysesshou · Answer

ok. have to go for now. have to get home before the thunderstorm rolls in fully.   :)
good luck with your problems.

anonymous · Answer

yup