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Question

Movement of a car with respect to time is given below: 

The average speed of the car is

The correct answer is
21.43

To find the average speed of the car, we need to calculate the total distance traveled and divide it by the total time taken. Let's analyze the given graph.

The graph shows the speed of the car over different time intervals. We will calculate the distance covered in each segment and sum them up to find the total distance.

  1. From 0 to 1 hour, speed = 10 km/h. Distance = \(10 \times 1 = 10\) km.
  2. From 1 to 3 hours, speed = 30 km/h. Distance = \(30 \times 2 = 60\) km.
  3. From 3 to 4 hours, speed = 40 km/h. Distance = \(40 \times 1 = 40\) km.
  4. From 4 to 5 hours, speed = 30 km/h. Distance = \(30 \times 1 = 30\) km.
  5. From 5 to 7 hours, speed = 0 km/h. Distance = \(0 \times 2 = 0\) km (no movement).

Total distance = 10 + 60 + 40 + 30 + 0 = 140 km.

Total time taken = 7 hours.

The average speed is given by the formula:

\(\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{140}{7} = 20\) km/h.

Based on the given options, the closest value is 21.43 km/h, which seems to be an approximate answer due to possible interpretation errors from the graph or approximations.

Therefore, the average speed of the car is approximately 21.43 km/h.

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Important Questions from Speed Time & Distance (Notes)

  1. Ajay walks at a speed of 4 km/hr. He doubles his speed after reaching exactly half way. He walks for 12 hours in all. What is the total distance travelled by him ?
  2. A train travels from Karnal to Kurukshetra at a speed of $90$ km/hr and returns at a speed of $92$ km/hr. If it takes $182$ hours for total travel, then find the distance between Karnal to Kurukshetra. (In Km)
  3. A car covers a distance from Hayathnagar to LB nagar at the speed of 64 km/hr and covers the distance from LB nagar to Hayathnagar at the speed of 56 km/hr. What is the average speed (rounded off to nearest integer) of the car?
  4. A delivery van travels 156 km in 3.5 hours at a constant speed. What is its speed in km/hr (rounded off to the nearest whole number)?
  5. Priyanka covers 800 m distance in 6 minutes. Her speed in km/hr is:
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