<PRE><B>Question 388649</B>
A cyclist goes from one village to another at 28 km/h. he returns at 24 km/h.
 if the return journey takes two hours longer than the outward journey.
 What is the distance between the villages?
:
Let d = the distance between the villages
:
Write a time equation, Time = dist/speed
:
Return time - go time = 2 hrs
{{{d/24}}} - {{{d/28}}} = 2
Least common multiple is 168, multiply by that, resulting in:
7d - 6d = 2(168)
d = 336 km between the villages
:
Confirm this by finding the times
336/24 = 14 hrs
336/28 = 12 hrs
-----------------
time dif: 2 hrs
</PRE>