Ram starts from point A at 8 a.m. and reaches point B at 2 p.m. on the same day. On the same day, Raju starts from point B at 8 a.m. and reaches point A at 6 p.m. on the same day. Both points A and B are separated by only a straight line track. At what time they both meet?

$$\overline {{\text{A}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{B}}} $$
Ram takes = 6 hour
Raju takes = 10 hour
Let distance = 30 km
(LCM of 6, 10)
Speed of Ram = $$\frac{{30}}{6}$$ = 5 km/hr
Speed of Raju = $$\frac{{30}}{{10}}$$ = 3 km/hr
They will met at $$ = \frac{{30}}{8} = 3\frac{6}{8}$$
$$\eqalign{ & = 3\frac{3}{4} \times 60 = 3:45\,{\text{am}} \cr & {\text{Time}} = 8 + 3:45 = 11:45{\text{ am}} \cr} $$