SOLUTION: Two trains 100 km apart each travel towards each other at 10 km per hour. A bumblebee starts flying back and forth between the two trains at 60 km per hour, until the two trains cr

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Question 169954: Two trains 100 km apart each travel towards each other at 10 km per hour. A bumblebee starts flying back and forth between the two trains at 60 km per hour, until the two trains crash into each other. How far does the bumblebee travel?
Found 2 solutions by nerdybill, Edwin McCravy:
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
Two trains 100 km apart each travel towards each other at 10 km per hour. A bumblebee starts flying back and forth between the two trains at 60 km per hour, until the two trains crash into each other. How far does the bumblebee travel?
.
You will need to apply the "distance formula":
d = rt
where
d is distance
r is rate or speed
t is time
.
Let t = time before trains crash
.
10t + 10t = 100
20t = 100
t = 5 hours
.
Since the bee is traveling 60 km/hr we multiply this with 5 hours to determine distance traveled:
60*5 = 300 km
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Edwin's solution:
Two trains 100 km apart each travel towards each other at 10 km per hour. A bumblebee starts flying back and forth between the two trains at 60 km per hour, until the two trains crash into each other. How far does the bumblebee travel? 


You can do it in your head:

The trains are approaching each other at a rate
of 10+10 or 20 km/h.  So their distance apart, which
is 100 km, will shrink to 0 in 5 hours.  So the 
bumblebee will fly for 5 hours at 60 km per hour, 
so it will fly a total of 300 km before it gets 
squished between the two trains.

Edwin
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