Question : $S_1$ and $S_2$ are two stations that are 195 km apart. A train starts from $S_1$ at 4:00 pm and moves towards $S_2$ at the speed of 65 km/hr. Another train starts from $S_2$ at 5:00 pm and moves towards $S_1$ at the speed of 35 km/hr. At what time will the two trains meet?

Option 1: 6:06 pm

Option 2: 6:30 pm

Option 3: 6:15 pm

Option 4: 6:18 pm

Question : Two trains, A and B, start from stations X and Y and travel towards Y and X, respectively. After passing each other, they take 4 hours 48 minutes, and 3 hours 20 minutes respectively to reach Y and X. If train A is moving at 45 km/hr, then the speed of train B is:

Option 1: 60 km/hr

Option 2: 64.8 km/hr

Option 3: 54 km/hr

Option 4: 37.5 km/hr

Question : Two places, P and Q, are 162 km apart. A train leaves P for Q and simultaneously, another train leaves Q for P. They meet at the end of six hours. If the former train travels 8 km/h faster than the other, the speed of the train from Q is:

Option 1: $12\frac{5}{6}$ km/h

Option 2: $10\frac{5}{6}$ km/h

Option 3: $9\frac{1}{2}$ km/h

Option 4: $8\frac{1}{2}$ km/h

Question : A passenger train running at the speed of 80 km/h leaves the railway station six hours after a goods train leaves and overtakes it in four hours. What is the speed of the goods train?

Option 1: 32 km/h

Option 2: 50 km/h

Option 3: 45 km/h

Option 4: 64 km/h

Question : Two trains are moving in the opposite direction at the speed of 48 km/hr and 60 km/hr respectively. The time taken by the slower train to cross a man sitting in the faster train is 12 seconds. What is the length of the slower train?

Option 1: 480 m

Option 2: 720 m

Option 3: 180 m

Option 4: 360 m