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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^ |
|---|
| "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?
=========================================================
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:
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!
=========================================================
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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Bassam Abdul-Baki wrote: How far will the mosquito travel?
It depends on the size of the mosquito; if it's bigger than the bikes, I suggest investigating an emergency fallback position.
You always obtain more by being rather polite and armed than polite only.
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time to meet faster = 2,8571428571428571428571428571429 hours
slower travel = 28,571428571428571428571428571429 miles
faster travel = 42,857142857142857142857142857143 miles
sum = 71,428571428571428571428571428572 miles
100 - 71,428571428571428571428571428572 = 28,571428571428571428571428571428 miles left to travel for mosq
time to meet slower = 0,95238095238095238095238095238093 hours
sum time mosq = 3,8095238095238095238095238095238 hours
total travell = 76,190476190476190476190476190477 miles = 76,2 miles
Edit 1:
Well, i didn't notice that it will "continuing to go back and forth", so the hard way is to find a sum limit for the infinite converging series, and the easy way is just 100/25*20 = 80, assuming the mosq have no inertia.
Edit 2: solving the hard way
time 0 = 2,8571428571428571428571428571429 h
time 1 = 0,95238095238095238095238095238093 h
time 2 = 0,95238095238095238095238095238093 * k h,
where k = 0,95238095238095238095238095238093 / 2,8571428571428571428571428571429 = 0,333(3)
time 2 = 0,3174603174603174603174603174603
time N = (0,333)^N * time0
https://upload.wikimedia.org/math/0/a/9/0a9e133cbd05d4d17f9f98b65765bb5a.png[^]
Sum [t0 * (0,333)^N] = t0 / (1 - 0,333) = 3,677146534289391432248575105718 h
well, thats only 73,543 miles, not 80
modified 27-May-16 10:07am.
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