SOLUTION: Three girls are racing around a track, each at a constant speed. Hannah is the fastest and passes Erin every 10 minutes. On the other hand, Erin passes Jeannie every 15 minutes. Ho

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Question 276580: Three girls are racing around a track, each at a constant speed. Hannah is the fastest and passes Erin every 10 minutes. On the other hand, Erin passes Jeannie every 15 minutes. How often does Hannah pass Jeannie?
a Every 5 minutes b Every 6 minutes c Every 7 minutes d Every 8 minutes
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the girls start together

let's say it takes Jeannie 30 min to run a lap ___ so Erin passes her twice each lap
___ Erin runs 3 laps for Jeannie's one ___ Erin's lap time is 10 min

Hannah passes Erin every time Erin is at the starting line
___ so Hannah runs 2 laps for Erin's one ___ Hannah's lap time is 5 min

Hannah runs 6 laps in the time it takes Jeannie to run one
___ she passes Jeannie 5 times in 30 min