SOLUTION: A man travels from City X to City Y at 4kn/h and from City Y to City X at 6km/h via the same route. The whole journey took 1 hour. Find the distance from City X to City Y

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Question 742982: A man travels from City X to City Y at 4kn/h and from City Y to City X at 6km/h via the same route. The whole journey took 1 hour. Find the distance from City X to City Y
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A man travels from City X to City Y at 4kn/h and from City Y to City X at 6km/h via the same route. The whole journey took 1 hour. Find the distance from City X to City Y
:
Let d = the distance fro x to y
:
Write a time equation; time = dist/speed
:
xy time + yx time = 1 hr
d%2F4 + d%2F6 = 1
mult by 12 to clear the denominators, results:
3d + 2d = 12
5d = 12
d = 12/5
d = 2.4 km is the dist from x to y
:
:
Check this by finding the actual time each way
2.4%2F4 + 2.4%2F6 =
.6 + .4 = 1