SOLUTION: one train starts from delhi 6 a.m reach to lucknow 10 a.m & other train starts from lucknow 8a.m reach to 11.30 a.m which time they reach each other

Question 824331: one train starts from delhi 6 a.m reach to lucknow 10 a.m & other train starts from lucknow 8a.m reach to 11.30 a.m which time they reach each other
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The distance between the places doesn't matter.
Units of distance aren't given, so I'll say they
are unit apart ( any unit )
------------
10 AM minus 6 AM is hrs
The 1st train's rate is units/hr
-------------
11:30 AM minus 8 AM is hrs
The 2nd train's rate is units/hr
-------------
8 AM minus 6 AM is hrs
What is the 1st train's head start?

units
-------------
Start a stopwatch when the 2nd train leaves
Let = time in hrs on the stopwatch
when they meet
Let = the distance the 2nd train traveled
until they meet
--------------
1st train's equation:
(1)
2nd train's equation:
(2)
-----------------
(1)
(1)
(1)
----------------
(2)
By substitution:
(1)
(1)
(1)
(1)
----------------
(2)
(2)
(2) hrs
-------------------
They will meet at 8 AM plus hrs

They will meet at 8:56
check:
(1)
(1)
(1)
(1)
(1)
OK

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