SOLUTION: When the 10 km/h bikes are 20 km apart, a bee begins flying from one wheel to the other at a steady speed of 30 km/h. When it gets to the wheel, it abruptly tgurns around and flie

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Question 777587: When the 10 km/h bikes are 20 km apart, a bee begins flying from one wheel to the other at a steady speed of 30 km/h. When it gets to the wheel, it abruptly tgurns around and flies back to touch the first wheel. Then turns around and keeps repeating the back and forth trip until the bikes meet and SQUISH.
How many kilometers did the bee travel in its total back and forth trips?
Found 2 solutions by stanbon, FrankM:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
When the 10 km/h bikes are 20 km apart, a bee begins flying from one wheel to the other at a steady speed of 30 km/h. When it gets to the wheel, it abruptly tgurns around and flies back to touch the first wheel. Then turns around and keeps repeating the back and forth trip until the bikes meet and SQUISH.
How many kilometers did the bee travel in its total back and forth trips?
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Find the time till the bikes meet:::
1st bike DATA:
rate = 10 km/hr ; distance = x km ; time = d/r = x/10 hrs
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2nd bike DATA:
rate = 10 km/hr ; distance = 20-x km ; time = (20-x)/10 hrs
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Equation:
x/10 = (20-x)/10
x = 20-x
2x = 20
x = 10 km
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How long does the bee fly?
x/10 = 10/10 = 1 hr
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How far does the bee fly?
Ans: (1 hr)(30 km/hr) = 30 km
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Cheers,
Stan H.
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Answer by FrankM(1040) (Show Source):
You can put this solution on YOUR website!
The two bikes are approaching each other at 20km/hr.
Since they start at 20km apart, the bee has one hour to live. The bee flies 30km in one hour.