Two train stations 300 km apart.
Train 1 leaves station A and travels at a constant speed of 50 km/h towards station B.
Train 2 leaves station B and travels at a constant speed of 75 km/h towards station A.
A small fly takes flight from the front of train 1 and flies toward train 2 - always moving 5km/h faster than the train. When it reaches train 2, it turns around and flies back towards train 1, again moveing 5km/h faster than the train.
Where will the fly be when the 2 trains meet?
2006-09-22 09:04:04 · 8 answers · asked by p_rutherford2003 5 in Science & Mathematics ➔ Physics
smashed between the crashed trains!!!!
2006-09-22 09:06:29 · answer #1 · answered by Anonymous · 1⤊ 1⤋
The first thing to notice is that the fly's speed and location has nothing to do with the problem. The fly (or what is left of him) will be in the same place as the two trains.
We can figure out the time when we meet -- because the distance travelled by the first train plus the distance travelled by the second train is 300 km.:
50*t + 75*t = 300
So 125*t = 300
time = 2.4 hours.
This means that they meet 120 km from station A and 180 km from station B.
Now -- a more interesting question is how far did the fly fly? It is complicated by the fact that it flies different speeds in different directions, but isn't much harder than the actual question.
2006-09-22 09:16:38 · answer #2 · answered by Ranto 7 · 1⤊ 0⤋
First of all, your trains will meet in 2.4 hours. Assuming that your fly will continue to fly between the two trains, it will keep going back and forth, and will eventually get smashed between the two trains (if they're on the same rail). If the trains are on different rails, the fly will be at the same position as the meeting point of the two trains, when the two trains meet.
2006-09-22 09:18:48 · answer #3 · answered by c90 4 · 1⤊ 0⤋
If we anticipate the motorcycles are vacationing in direction of one yet another, they're going to fulfill in one hour. by way of fact the bee flies at 30 km/hr, that is going to return and forth 30 km interior the only hour it takes the motorcycles to fulfill.
2016-10-01 06:19:56 · answer #4 · answered by ? 4 · 0⤊ 0⤋
A fly that can travel unaided at 55km/h?!
Then, accelerates to 80 km/h?!
Are you sure that was a fly?
2006-09-22 09:13:12 · answer #5 · answered by mnm75932 3 · 0⤊ 1⤋
Stick to college algebra ; )
2006-09-22 10:55:50 · answer #6 · answered by strawberrylemonadecupcake 2 · 0⤊ 1⤋
That is one fast fly....
2006-09-22 09:12:07 · answer #7 · answered by Yentl 4 · 0⤊ 0⤋
houston
2006-09-22 09:11:17 · answer #8 · answered by tonkatruk_2001 3 · 0⤊ 1⤋