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
:
Let d = the distance fro x to y
:
Write a time equation; time = dist/speed
:
xy time + yx time = 1 hr
{{{d/4}}} + {{{d/6}}} = 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
{{{2.4/4}}} + {{{2.4/6}}} =
.6 + .4 = 1