a car travels 3 km of distance in 10 minutes to reach the destintion on the return journey the car travels the same distance in 50 m what is the average speed of the car during the endayar journey
A car travels 3 km of distance in 10 minutes to reach the destination. On the return journey, the car travels the same distance in 50 minutes. What is the average speed of the car during the entire journey?
Answer:
To find the average speed of the car during the entire journey, we need to follow these steps:
- Determine the total distance traveled.
- Calculate the total time taken.
- Use the formula for average speed.
Solution By Steps:
-
Calculate Total Distance:
The car travels 3 km to reach the destination and another 3 km on the return journey. Therefore, the total distance traveled is:
\text{Total Distance} = 3 \, \text{km} + 3 \, \text{km} = 6 \, \text{km} -
Calculate Total Time:
The car takes 10 minutes to reach the destination and 50 minutes on the return journey. Therefore, the total time taken is:
\text{Total Time} = 10 \, \text{minutes} + 50 \, \text{minutes} = 60 \, \text{minutes}Since speed calculations generally require time in hours, we convert 60 minutes to hours:
\text{Total Time} = \frac{60 \text{ minutes}}{60 \text{ minutes/hour}} = 1 \text{ hour} -
Calculate Average Speed:
The average speed is calculated using the formula:
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}Substituting the values we determined:
\text{Average Speed} = \frac{6 \, \text{km}}{1 \, \text{hour}} = 6 \, \text{km/hour}
Therefore, the average speed of the car during the entire journey is 6 km/hour.
Final Answer:
The average speed of the car during the entire journey is 6 km/hour.