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Mathematics 13 Online
OpenStudy (anonymous):

A runner is jogging at a steady 1 km/hr. When the runner is 0.88 km from the finish line a bird begins flying from the runner to the finish line at 3 km/hr (3 times as fast as the runner). When the bird reaches the finish line, it turns around and flies back to the runner. After this first encounter, the bird then turns around and flies from the runner back to the finish line, turns around again and flies back to the runner. The bird repeats the back and forth trips until the runner reaches the finish line. How far did the bird travel?

OpenStudy (isaiah.feynman):

Oh God, this question is so common!

OpenStudy (anonymous):

lol I still don't understand it

OpenStudy (agent0smith):

Hint: find how long it takes the runner to finish the race. The bird will be flying for that same amount of time... at 3km/hr ;)

OpenStudy (agent0smith):

@RavenLynette

OpenStudy (anonymous):

See that seems very helpful but Idk how to do it still ._.

OpenStudy (agent0smith):

At 1km/hr, how long does it take to run 0.88km? use distance = speed * time for the runner then use it again on the bird!

OpenStudy (anonymous):

well .88 divided by 1 is just .88.... so I multiply that by 3?

OpenStudy (agent0smith):

Yep. It takes 0.88 hours, so how far will the bird fly in 0.88 hours?

OpenStudy (anonymous):

2.64 km is my best guess

OpenStudy (agent0smith):

that's pretty exact for a guess :P

OpenStudy (anonymous):

Haha why thank you

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