21. A train covers a distance in 30 minutes. If it runs at a speed of 54 km/h on an average. The speed at which the train must run to reduce the time of the journey to 20 minutes is:
22. Two-thirds of a certain distance was covered at the speed of 45 km/h, one-fourth at the speed of 60 km/h and the rest at the speed of 75 km/h. Find the average speed per hour for the whole journey. (correct to 2 decimal places)
23. A man travels 210 km with the speed of 60 km/hr and next 198 km with the speed of 66 km/hr. Find the average speed of the whole journey.
24. A metro train runs at the speed of 40 km/h from station A to station B covering a distance of 30 km. It stops at 5 stations in between, for 5 minutes at each station. What is the average speed (in km/h) of the train from A to B?
25. A thief is noticed by a policeman from a distance of 97 m. The thief starts running and the policeman chases him. The thief and the policeman run at a speed of 21 m/sec and 23 m/sec respectively. What is the time taken by the policeman to catch the thief?
26. A person walks a distance from point A to B at 15 km/h, and from point B to A at 30 km/h. If he takes 3 hours to complete the journey, then what is the distance from point A to B?
27. The wheel of a car has 210 cm diameter. How many revolutions per minute must the wheel make so that the speed of the car is kept at 120 km/h?
28. The distance between the places H and O is D units. The average speed that gets a person from H to O in a stipulated time is S units. He takes 20 minutes more time than usual if he travels at 60 km/h, and reaches 44 minutes early if he travels at 75 km/h. The sum of the numerical values of D and S is:
29. A train travelling at 36 km/h crosses a pole in 25 second. How much time (in second) will it take to cross a bridge 350 m long?
30. A person travels 5x distance at a speed of 5 km/h, x distance at a speed of 5 km/h, and 4x distance at a speed of 6 km/h, and takes a total of 112 minutes. What is the total distance (in km) travelled by the person?
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