SOLUTION: the distance between A and B is 80km a train from A is going towards B with a speed of 60 km/hr and a train comes from point B towards a with a speed of 100km/hr where is point C i

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Question 691238: the distance between A and B is 80km a train from A is going towards B with a speed of 60 km/hr and a train comes from point B towards a with a speed of 100km/hr where is point C if they will meet at the same time?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The distance between A and B is 80km
A train from A is going towards B with a speed of 60 km/hr;
and a train comes from point B towards A with a speed of 100km/hr
Where is point C if they will meet at the same time?
the phrase "meet at the same time" makes no sense.
:
Assume you mean, "Where is C, the point that they meet?"
:
let c = distance from A
then
(80-c) = distance from B
:
Write a time equation, time = dist/speed
:
A's travel time = B's travel time
c%2F60 = %28%2880-c%29%29%2F100
Cross multiply
100c = 60(80-c)
100c = 4800 - 60c
100c + 60c = 4800
160c = 4800
c = 4800/160
c = 30 km from A, is where they meet
:
:
Prove this by finding the travel time of each train, should be equal
30/60 = .5 hrs
(80-30)/100 = .5 hrs