SOLUTION: This problem is in a polynomial related math packet so I assume that this would be the correct place to submit this. This is a verbal question. Here it is: Everyday at noon a sh

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: This problem is in a polynomial related math packet so I assume that this would be the correct place to submit this. This is a verbal question. Here it is: Everyday at noon a sh      Log On


   



Question 140938: This problem is in a polynomial related math packet so I assume that this would be the correct place to submit this. This is a verbal question. Here it is:
Everyday at noon a ship leaves San Francisco for Tokyo, and at the same instant a ship leaves Tokyo for San Francisco. Each trip lasts exactly 8 days. How many Tokyo ships will each San Francisco ship meet?
I'd appreciate any help with this problem. Thank you for your time.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let's say you are on Hawaii, you watch a Tokyo ship pass a San Francisco ship

the next Tokyo ship is a day behind this one, but the San Francisco ship is moving

in half a day, the San Francisco ship has moved half the original distance to the next Tokyo ship
__ while the next Tokyo ship has also moved half the original distance
__ so they meet, half a day after the San Francisco ship passed the previous Tokyo ship

ships will pass every half day, so on an 8 day voyage there will be 15 meetings at sea

a Tokyo ship arrives at the same time that the San Francisco ship departs
__ and the San Francisco ship arrives at the same time that a Tokyo ship departs
__ if these are considered meetings, then 2 more must be added