Movement of a car with respect to time is given below: The average speed of the car is
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.
- From 0 to 1 hour, speed = 10 km/h. Distance = \(10 \times 1 = 10\) km.
- From 1 to 3 hours, speed = 30 km/h. Distance = \(30 \times 2 = 60\) km.
- From 3 to 4 hours, speed = 40 km/h. Distance = \(40 \times 1 = 40\) km.
- From 4 to 5 hours, speed = 30 km/h. Distance = \(30 \times 1 = 30\) km.
- 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.
Important Questions from Speed Time & Distance (Notes)
A and B have to travel from place P to place Q following the same route in their respective cars. A drives at $60$ kmph while B drives at $80$ kmph. Find the time taken by B to reach place Q if A takes $12$ hrs.
On a straight road, a bus is $60$ km ahead of a car running in the same direction. After $3$ hours, the car is $90$ km ahead of the bus. If the speed of the bus is $45$ km/h, then what is the speed of the car (in km/h)?
A train running at the speed of $90$ kmph crosses a $250$ m long platform in $26$ seconds. What is the length of the train (in m)?
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:
- A car travels a total distance L. It travels half the distance with speed $v_1$ and the other half with speed $v_2$. The average speed of the car is :
