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Two bicycles are travelling in a straight line towards each other starting from 100 miles apart (assume front wheel to front wheel). The slow bike is travelling at 10 mph and the fast bike is travelling at 15 mph. A mosquito travels from the front wheel of the slower bike to the faster bike in a straight line at 20 mph and once he reaches the bike, without slowing, does a reversal back to the other bike continuing to go back and forth. How far will the mosquito travel?
I was trying to solve this the hard way when I realized the easy way. I still need to solve this the hard way.
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About three inches if I have a swatter handy.
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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Always use chopsticks to catch them.
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What is the answer?? 80miles
When the mosquito will stop travelling??
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Too easy, even by [UK] year 6 standards!
10+15 = 25 mph.
bikes meet = 100/25 = 4 hours
Mosquito travels = 4 * 20 = 80 miles.
veni bibi saltavi
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Damn, sixth graders can do infinite sums? It's pretty obvious what that sum converges to (based on the length of time the mosquito has to fly in total), but I can see that frying some brains in the process.
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time(t)=distance(x)/Velocity(v)
v1=15mph --> Velocity of faster bike
v2=10mph --> Velocity of slower bike
t1=x/15 t2=x-100/10
t1=t2 --> when they meet
x/15 = x-100/10
x=40 miles
t1=t2=4h
Mosquito travelled = 4 * 20 = 80 miles
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Member 12063711 wrote: time(t)=distance(x)/Velocity(v)
v1=15mph --> Velocity of faster bike
v2=10mph --> Velocity of slower bike
t1=x/15 t2=x-100/10
t1=t2 --> when they meet
x/15 = x-100/10
x=40 miles
t1=t2=4h
You do know that your equation's wrong and that your answer based on even some of that is wrong?
x=60 not 40, to start
and it should be t2=(100-x)/10 or it would evaluate to a negative value and/or you're missing parenthesis so it really evaluates to x/15=x-10 and that's not going to work out well, either.
Ravings en masse^ |
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"The difference between genius and stupidity is that genius has its limits." - Albert Einstein | "If you are searching for perfection in others, then you seek disappointment. If you are seek perfection in yourself, then you will find failure." - Balboos HaGadol Mar 2010 |
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Before looking at any of the answers, below, I simply looked at all of the information. The two bikes will travel for four hours until they meet
- so at 20mph the misquito will travel 80 miles if you're interested in flight.
- The misquito will only travel 40 miles if you only consider it's starting point and final destination.
I did have an edge. I done graduated from sixth grade!
Ravings en masse^ |
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"The difference between genius and stupidity is that genius has its limits." - Albert Einstein | "If you are searching for perfection in others, then you seek disappointment. If you are seek perfection in yourself, then you will find failure." - Balboos HaGadol Mar 2010 |
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Great way to get your homework done for you.
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How can a mosquito change velocity from +20mph to -20mph without slowing down?
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I'm an optoholic - my glass is always half full of vodka.
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Teleportation. It only changes direction.
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Low inertia and a tiny trampoline fixed to each bike.
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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What's the last thing that goes through the flies mind when it hits the trampoline?
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55378008 wrote: What's the last thing that goes through the flies mind when it hits the trampoline?
A very old joke?
Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...
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OriginalGriff wrote: Low Zero inertia
FTFY
... such stuff as dreams are made on
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hmmm, fly mosquito swat ?
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It's easy: Inertial dampeners
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What's the last thing to go through a mosquito's mind when it hits a bicycle travelling at a combined speed of 35mph? It's a***hole!
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I'm an optoholic - my glass is always half full of vodka.
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About 1-3 miles[^].
And I won't comment the speed.
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It doesn't say the mosquito is flying under its own power, merely that it's travelling. Clearly it's hitched a lift.
I am not a number. I am a ... no, wait!
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What you didn't mention is that the mosquito is actually an omni-present alien space mosquito spanning galaxies in size.
Only the mighty mosquito knows the answer...
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