A sound wave travels at a speed of 330 m/s. If the echo of a sound is heard from a wall after 2 seconds, find the distance of the wall from the source.
Explanation:
Total distance traveled by the sound wave to the wall and back = Speed * Time = 330 * 2 = 660 meters. Distance to the wall = 660 / 2 = 330 meters.
Two cyclists start from the same place in opposite directions. One goes towards North at 18 km/h and the other goes South at 22 km/h. What is the distance between them after 30 minutes?
The ratio of speeds of a car, a train and a bus is 5 : 9 : 4. The average speed of the car, the train and the bus together is 60 km/h. What is the average speed of the car and the bus together?
Explanation:
Let the speeds be 5x, 9x, and 4x. Average speed of all three = (5x + 9x + 4x) / 3 = 18x / 3 = 6x = 60 km/h => x = 10. Speed of car = 50 km/h, speed of bus = 40 km/h. Average speed of car and bus = (50 + 40) / 2 = 45 km/h.
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