SOLUTION: at noon, car A started to travel at a uniform speed from town X to town Y which was 60KM away from town X. One and a half hours later, car B started to travel at the same uniform s

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Question 242148: at noon, car A started to travel at a uniform speed from town X to town Y which was 60KM away from town X. One and a half hours later, car B started to travel at the same uniform speed as car a from town Y to town X. They passed each other at 3P.M. What distance had they each travelled when they passed each other?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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at noon, car A started to travel at a uniform speed from town X to town Y which was 60KM away from town X.
One and a half hours later, car B started to travel at the same uniform speed as car a from town Y to town X. They passed each other at 3 PM
What distance had they each traveled when they passed each other?
:
We know when A meets B, their total travel dist will be 60 km
:
Travel time when they met a 3 PM
Car A travel time = 3 hrs
Car B travel time = 1.5 hrs
:
Let d = Car A travel distance
then
(60-d) = Car B travel distance
:
Write a speed equation Speed = dist/time (Both drive at the same speed)
d%2F3 = %2860-d%29%2F1.5
Cross multiply
1.5d = 3(60-d)
1.5d = 180 - 3d
1.5d + 3d = 180
4.5d = 180
d = 180%2F4.5
d = 40 km traveled by Car A
and
60 - 40 = 20 km traveled by Car B
:
:
Check solution finding the speed of each, they should be equal:
40/3 = 131%2F3 kmh
20/1.5 = 131%2F3 kmh