The distance between two railway stations is 1176 km. To cover this distance, an express train takes 5 hours less than a passenger train while the average speed of the passenger train is 70 km/h less than that of the express train. The time taken by the passenger train to complete the travel is:

Solution(By Examveda Team)

Let the speed of express train = x
Passenger train = x - 70
$$\frac{{1176}}{{x - 70}} - \frac{{1176}}{x} = 5$$
At x = 168 is satisfy
$$\eqalign{ & \frac{{1176}}{{98}} - \frac{{1176}}{{168}} = 5 \cr & 12 - 7 = 5 \cr & 5 = 5 \cr} $$
The time of passenger train $$ = \frac{{1176}}{{98}} = 12{\text{ hours}}$$

Alternate Solution:-
We can go through option
1176 → 1 + 1 + 7 + 6 = 15 → It is divisible by 3.
So, we have to check option, which one is divisible by 3, option A and D
→ Now we can check 18 and 12.