Question : Two trains with a speed of 80 km/hr and 120 km/hr, respectively, are 500 km apart and face each other. Find the distance between them 10 minutes before crossing.

Option 1: 72.33 km

Option 2: 33.33 km

Option 3: 63.33 km

Option 4: 52.74 km

Question : A boat takes 4 hours to travel from a place X to Y downstream and back from Y to X upstream. If the distance from X to Y is 10.5 km, and the speed of the current is 9 km/hr, then the speed of the boat in still water, in km/hr, is:

Option 1: $10 \frac{1}{2}$

Option 2: $15$

Option 3: $12$

Option 4: $12 \frac{1}{2}$

Question : A train crosses two persons travelling at 4 km/hr and 6 km/hr in the same direction in 12 sec and 14 sec, respectively. The speed of the train is ________.

Option 1: 18 km/hr

Option 2: 26 km/hr

Option 3: 20 km/hr

Option 4: 24 km/hr

Question : A speedboat, whose speed is 20 km/hr in still water, goes 35 km downstream and comes back in a total of 8 hours. What is the speed of the stream?

Option 1: 20 km/hr

Option 2: 10 km/hr

Option 3: 15 km/hr

Option 4: 5 km/hr

Question : A boy goes from home to school at a speed of 30 km/hr and returns back at a speed of 70 km/hr. What is his average speed for the journey?

Option 1: 42 km/hr

Option 2: 48 km/hr

Option 3: 38 km/hr

Option 4: 36 km/hr