SOLUTION: Two man cycled towards each other,one from A and other from B.the first tourist left point A 6 hrs later than the 2nd left pt B, reached at same time find speed of faster

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Question 1000287: Two man cycled towards each other,one from A and other from B.the first tourist left point A 6 hrs later than the 2nd left pt B, reached at same time find speed of faster
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
No way to find a unique answer. Way too little information. We need at least two more pieces of information.

We could not even find a unique answer if the distance between A and B was given as in the problem below:
"One tourist left point A, cycling towards point B, 6 hrs after a second tourist had left point B cycling towards point A. Both tourists reached their destinations at the same time. The distance between points A and B is 200 km".
In that case, we could define variables, translate the information into equations,
and we would still need an extra equation to be able to find a unique answer:
v%5B1%5D= average speed of the first tourist, in km per hour.
v%5B2%5D= average speed of the second tourist, in km per hour.
t= time the first tourist spent cycling from A to B, in hours.
t%2B6= time the second tourist spent cycling from B to A, in hours.
t%2Av%5B1%5D=200= distance cycled by the first tourist, in km.
%28t%2B6%29%2Av%5B2%5D=200= distance cycled by the second tourist, in km.
Unfortunately, the system of equations system%28t%2Av%5B1%5D=200%2C%28t%2B6%29%2Av%5B2%5D=200%29 ,
with 3 variables related by only 2 equations,
has an infinite number of solutions.
We can tabulate some of them:

Since the possibilities are infinite, I cannot list or describe them all.