Question 877014: Two buses travel toward each other in the same lane, beginning 100 miles apart. One bus travels at 40 miles per hour; the other travels at 60 miles an hour. A bat starts flight at the same location as the faster bus, flying at a speed of 90 miles per hour. When it reaches the slower bus, it turns around, flying the other direction at the same speed. When it reaches the faster bus again, it turns around -- and so on. When the buses collide, how far will the bird have flown?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Two buses travel toward each other in the same lane, beginning 100 miles apart.
One bus travels at 40 miles per hour; the other travels at 60 miles an hour.
A bat starts flight at the same location as the faster bus, flying at a speed of 90 miles per hour.
When it reaches the slower bus, it turns around, flying the other direction at the same speed.
When it reaches the faster bus again, it turns around -- and so on.
When the buses collide, how far will the bird have flown?
:
Let t = how long it takes for the buses to collide
write a distance equation; dist = speed * time
40t + 60t = 100
100t = 100
t = 1 hr
:
This is also the length of time the bat is flying, which is 1 hr
hence the bat flies 90 miles
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