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A car covers four consecutive stretches of 4 km each at the speeds of 10 kmph, 20 kmph, 30 kmph and 60 kmph. Its average speed for the journey is
- a)10 kmph
- b)20 kmph
- c)30 kmph
- d)25 kmph
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A car covers four consecutive stretches of 4 km each at the speeds of...
Average speed
Hence, answer option 2 is correct.
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A car covers four consecutive stretches of 4 km each at the speeds of...
Calculating Average Speed:
To calculate the average speed of the car for the entire journey, we can use the formula:
Average Speed = Total Distance / Total Time
Calculating Total Distance:
- The car covers four stretches of 4 km each, so the total distance covered is 4 km + 4 km + 4 km + 4 km = 16 km.
Calculating Total Time:
- Time taken to cover the first stretch at 10 kmph = 4 km / 10 kmph = 0.4 hours
- Time taken to cover the second stretch at 20 kmph = 4 km / 20 kmph = 0.2 hours
- Time taken to cover the third stretch at 30 kmph = 4 km / 30 kmph = 0.133 hours
- Time taken to cover the fourth stretch at 60 kmph = 4 km / 60 kmph = 0.067 hours
Total Time = 0.4 + 0.2 + 0.133 + 0.067 = 0.8 hours
Calculating Average Speed:
Average Speed = 16 km / 0.8 hours = 20 kmph
Therefore, the average speed of the car for the entire journey is 20 kmph, which corresponds to option (b).
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