Given - The time taken for both trains to meet =
t hours.
Assuming the speed of
T1 = V1 and speed of
T2 = V2.
The total distance between the 2 stations = X
Distance travelled by T1 = P and Distance travelled by T2 = X - P.
Find the time T2 taskes to travel distance P. Statement 1 -
V1 = 4V2 P > X - P
This also means that V1 and V2 are in ratio 4/1. As for Distance travelled,
P = V1 x t. and
X - P = V2 x t.
The value of P clearly can't be obtained from these two equations. The time T2 takes after the trains meet can't be found either.
INSUFFICIENT. Options A & D eliminated.
Statement 2 - T1 -> 4 hours to complete the remaining distance X-P.
4 x V1 = X-P
But, Statement 2 doesn't give us a relationship between V1 and V2.
INSUFFICIENT.
Option B now eliminated too.
Combining Statements 1 & 2,
We have ->
P = V1 x t and
X - P = V2 x t.
4 x V1 = X - P
Equating the values of X - P
=> 4V1 = V2t
=> 16V2 = V2t
=> t = 16 Hours.
Thus, the time taken for both trains to meet is equal to 16 hours.
We need not calculate further as to how much time T2 will take to cover distance P.
(1) & (2) are sufficient.
Answer is
C.