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 : P and Q are 27 km away. Two trains with speeds of 24 km/h and 18 km/h, respectively, start simultaneously from P and Q and travel in the same direction. They meet at a point R, beyond Q. Distance QR is:

Option 1: 126 km

Option 2: 81 km

Option 3: 48 km

Option 4: 36 km

Question : The distance between two places A and B is 140 km. Two cars $x$ and $y$ start simultaneously from A and B, respectively. If they move in the same direction, they meet after 7 hours. If they move towards each other, they meet after one hour. What is the speed (in km/hr) of car $y$ if its speed is more than that of car $x$?

Option 1: 60

Option 2: 100

Option 3: 80

Option 4: 90

Question : A and B are 15 km apart and when travelling towards each other, meet after half an hour, whereas they meet two and a half hours later if they travel in the same direction. The faster of the two travels at a speed of:

Option 1: 15 km/h

Option 2: 18 km/h

Option 3: 10 km/h

Option 4: 8 km/h

Question : Two rifles are fired from the same place at a difference of 11 minutes 45 seconds. But a man who is coming towards the same place on a train hears the second sound after 11 minutes. Find the speed of the train (Assuming the speed of sound = 330 m/s).

Option 1: 72 km/h

Option 2: 36 km/h

Option 3: 81 km/h

Option 4: 108 km/h