Given: A car travels 150 km north in 3 hours. Find its average velocity.
Formula used: Average velocity = Displacement / Time taken
Solution: Average velocity = 150 km / 3 hours = 50 km/hour
Final answer: The car's average velocity is 50 km/hour.
Given: A cyclist rides his bike for 2 hours at an average speed of 25 km/hour. Find the displacement of the cyclist.
Formula used: Displacement = Average speed x Time taken
Solution: Displacement = 25 km/hour x 2 hours = 50 km
Final answer: The cyclist's displacement is 50 km.
Given: A train covers a distance of 900 km in 12 hours. Find its average speed.
Formula used: Average speed = Distance / Time taken
Solution: Average speed = 900 km / 12 hours = 75 km/hour
Final answer: The train's average speed is 75 km/hour.
Given: A car travels 40 km in 1 hour, and then travels another 60 km in the next 2 hours. Find the total distance covered and the average speed of the car.
Formula used: Total distance covered = Distance covered in first leg + Distance covered in second leg
Average speed = Total distance covered / Total time taken
Solution: Total distance covered = 40 km + 60 km = 100 km
Average speed = 100 km / 3 hours = 33.33 km/hour (rounded off to two decimal places)
Final answer: The car covered a total distance of 100 km at an average speed of 33.33 km/hour.
Given: A car travels 20 km north, then 30 km south, and then 10 km north. Find the total displacement of the car.
Formula used: Total displacement = Sum of all individual displacements
Solution: Total displacement = 20 km north - 30 km south + 10 km north = 0 km
Final answer: The car's total displacement is 0 km.
Given: A motorcyclist travels 80 km in 1 hour at a constant speed, and then reduces his speed by half and travels for another 1 hour. Find his average speed for the entire journey.
Formula used: Average speed = Total distance covered / Total time taken
Solution: Total distance covered = 80 km + (80 km / 2) = 120 km
Total time taken = 1 hour + 1 hour = 2 hours
Average speed = 120 km / 2 hours = 60 km/hour
Final answer: The motorcyclist's average speed for the entire journey is 60 km/hour.
Given: A car travels 60 km north in 2 hours. Find its average velocity.
Formula used: Average velocity = Displacement / Time taken
Solution: Average velocity = 60 km / 2 hours = 30 km/hour
Final answer: The car's average velocity is 30 km/hour.
Given: A cyclist rides his bike for 3 hours at an average speed of 15 km/hour. Find the displacement of the cyclist.
Formula used: Displacement = Average speed x Time taken
Solution: Displacement = 15 km/hour x 3 hours = 45 km
Final answer: The cyclist's displacement is 45 km.
Given: A train covers a distance of 1200 km in 15 hours. Find its average speed.
Formula used: Average speed = Distance / Time taken
Solution: Average speed = 1200 km / 15 hours = 80 km/hour
Final answer: The train's average speed is 80 km/hour.
Given: A car travels 30 km in 1 hour, and then travels another 70 km in the next 2 hours. Find the total distance covered and the average speed of the car.
Formula used: Total distance covered = Distance covered in first leg + Distance covered in second leg
Average speed = Total distance covered / Total time taken
Solution: Total distance covered = 30 km + 70 km = 100 km
Average speed = 100 km / 3 hours = 33.33 km/hour (rounded off to two decimal places)
Final answer: The car covered a total distance of 100 km at an average speed of 33.33 km/hour.
Given: A car travels 25 km north, then 40 km south, and then 15 km north. Find the total displacement of the car.
Formula used: Total displacement = Sum of all individual displacements
Solution: Total displacement = 25 km north - 40 km south + 15 km north = 0 km
Final answer: The car's total displacement is 0 km.
Given: A motorcyclist travels 90 km in 2 hours at a constant speed, and then reduces his speed by half and travels for another 2 hours. Find his average speed for the entire journey.
Formula used: Average speed = Total distance covered / Total time taken
Solution: Total distance covered = 90 km + (90 km / 2) = 135 km
Total time taken = 2 hours + 2 hours = 4 hours
Average speed = 135 km / 4 hours = 33.75 km/hour (rounded off to two decimal places)
Final answer: The motorcyclist's average speed for the entire journey is 33.75 km/hour.
Given: A car travels 120 km in 2 hours. Find its average speed.
Formula used: Average speed = Distance / Time taken
Solution: Average speed = 120 km / 2 hours = 60 km/hour
Final answer: The car's average speed is 60 km/hour.
Given: A train covers a distance of 450 km in 6 hours. Find its average speed.
Formula used: Average speed = Distance / Time taken
Solution: Average speed = 450 km / 6 hours = 75 km/hour
Final answer: The train's average speed is 75 km/hour.
Answers & Comments
Answer:
Formula used: Average velocity = Displacement / Time taken
Solution: Average velocity = 150 km / 3 hours = 50 km/hour
Final answer: The car's average velocity is 50 km/hour.
Formula used: Displacement = Average speed x Time taken
Solution: Displacement = 25 km/hour x 2 hours = 50 km
Final answer: The cyclist's displacement is 50 km.
Formula used: Average speed = Distance / Time taken
Solution: Average speed = 900 km / 12 hours = 75 km/hour
Final answer: The train's average speed is 75 km/hour.
Formula used: Total distance covered = Distance covered in first leg + Distance covered in second leg
Average speed = Total distance covered / Total time taken
Solution: Total distance covered = 40 km + 60 km = 100 km
Average speed = 100 km / 3 hours = 33.33 km/hour (rounded off to two decimal places)
Final answer: The car covered a total distance of 100 km at an average speed of 33.33 km/hour.
Formula used: Total displacement = Sum of all individual displacements
Solution: Total displacement = 20 km north - 30 km south + 10 km north = 0 km
Final answer: The car's total displacement is 0 km.
Formula used: Average speed = Total distance covered / Total time taken
Solution: Total distance covered = 80 km + (80 km / 2) = 120 km
Total time taken = 1 hour + 1 hour = 2 hours
Average speed = 120 km / 2 hours = 60 km/hour
Final answer: The motorcyclist's average speed for the entire journey is 60 km/hour.
Formula used: Average velocity = Displacement / Time taken
Solution: Average velocity = 60 km / 2 hours = 30 km/hour
Final answer: The car's average velocity is 30 km/hour.
Formula used: Displacement = Average speed x Time taken
Solution: Displacement = 15 km/hour x 3 hours = 45 km
Final answer: The cyclist's displacement is 45 km.
Formula used: Average speed = Distance / Time taken
Solution: Average speed = 1200 km / 15 hours = 80 km/hour
Final answer: The train's average speed is 80 km/hour.
Formula used: Total distance covered = Distance covered in first leg + Distance covered in second leg
Average speed = Total distance covered / Total time taken
Solution: Total distance covered = 30 km + 70 km = 100 km
Average speed = 100 km / 3 hours = 33.33 km/hour (rounded off to two decimal places)
Final answer: The car covered a total distance of 100 km at an average speed of 33.33 km/hour.
Formula used: Total displacement = Sum of all individual displacements
Solution: Total displacement = 25 km north - 40 km south + 15 km north = 0 km
Final answer: The car's total displacement is 0 km.
Formula used: Average speed = Total distance covered / Total time taken
Solution: Total distance covered = 90 km + (90 km / 2) = 135 km
Total time taken = 2 hours + 2 hours = 4 hours
Average speed = 135 km / 4 hours = 33.75 km/hour (rounded off to two decimal places)
Final answer: The motorcyclist's average speed for the entire journey is 33.75 km/hour.
Formula used: Average speed = Distance / Time taken
Solution: Average speed = 120 km / 2 hours = 60 km/hour
Final answer: The car's average speed is 60 km/hour.
Formula used: Average speed = Distance / Time taken
Solution: Average speed = 450 km / 6 hours = 75 km/hour
Final answer: The train's average speed is 75 km/hour.