All Exams Test series for 1 year @ ₹349 only
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.

Was this answer helpful?

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. With a certain set of diameters, a tractor's front wheels make 2 revolutions (revs) for every 1 revolution of the rear wheels. The effect of changing wheel diameter(s) is shown in the following plot. 

     In this context, which of the following statements is CORRECT?

  3. 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)
  4. A car covers 4 successive stretches of 3 km each at speed of 10 kmph, 20 kmph, 30 kmph and 60 kmph respectively. The average speed of the car for the entire journey is:

  5. A cyclist travels at 18 km/hr for 2.5 hours. What distance does he cover?
Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App