Motion Problem: At 4:00 Gigi and Madel left the music house. Gigi walked east and reached her house at 5:00. Madel rode her bike west and reached her house at 4:15. Madel traveled twice as fast as Gigi. Their houses are 9km apart. How far didi each travel?

Question

Motion Problem: At 4:00 Gigi and Madel left the music house. Gigi walked east and reached her house  at 5:00. Madel rode her bike west and reached her house at 4:15. Madel traveled twice as fast as Gigi. Their houses are 9km apart. How far didi each travel?

anonymous · Answer

okay, lets think about this.
gigi walked for an hour to reach her house
madel rode for 15 minutes and reached her house.
their houses are 9 km apart

anonymous · Answer

lets say gig's speed was S km/hour

anonymous · Answer

we know that distance = speed x time

anonymous · Answer

ans is 3 km

anonymous · Answer

so gigi traveled S km in one hour

anonymous · Answer

if speed of didi is x...
x+2x/4=9

anonymous · Answer

madel's speed is 2S. in 15 minutes, that is, a quarter hour, she travels 2S x 1/4 = S/2 km

anonymous · Answer

thanks :]

anonymous · Answer

total distance is 9 km
so S+S/2 = 9km
S = 6km
that means that gigi's house is 6 km away from the music store and madel's house is 3 km away from the music store