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Man covers a certain distance by driving car at the speed of 60 kmph and return back to the starting point at the speed of 40kmph find its average speed?
- a)48kmph
- b)51kmph
- c)50
- d)42
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Man covers a certain distance by driving car at the speed of 60 kmph a...
since equal distances are covered at 60 kmph and 40 kmph, we can apply the formula 2xy/(x+y)
Average speed = 2x40x60/40+60 = 48 kmph
This formula works as follows
Let the distance to one side = x
Total distance = 2x
Time taken for the forward journey = x/60
Time taken for the return journey = x/40
Total time = x/60 + x/40 = 100x/2400
Average speed = Total distance/Total Time = 2x/(100x/2400) = 48 kmph
Most Upvoted Answer
Man covers a certain distance by driving car at the speed of 60 kmph a...
Given information:
- The man covers a certain distance by driving a car at a speed of 60 km/h.
- The man returns back to the starting point at a speed of 40 km/h.
To find the average speed, we can use the formula:
Average Speed = Total Distance / Total Time
Let's assume that the distance covered by the man is D km.
Distance covered in the forward journey = D km
Distance covered in the return journey = D km
Time taken for the forward journey = Distance / Speed = D / 60
Time taken for the return journey = Distance / Speed = D / 40
Total time taken = (D / 60) + (D / 40) = (2D + 3D) / 120 = 5D / 120 = D / 24
Total distance covered = Distance + Distance = 2D
Average Speed = Total Distance / Total Time = 2D / (D / 24) = 48 km/h
Therefore, the average speed of the man is 48 km/h.
Hence, the correct answer is option A) 48 km/h.
- The man covers a certain distance by driving a car at a speed of 60 km/h.
- The man returns back to the starting point at a speed of 40 km/h.
To find the average speed, we can use the formula:
Average Speed = Total Distance / Total Time
Let's assume that the distance covered by the man is D km.
Distance covered in the forward journey = D km
Distance covered in the return journey = D km
Time taken for the forward journey = Distance / Speed = D / 60
Time taken for the return journey = Distance / Speed = D / 40
Total time taken = (D / 60) + (D / 40) = (2D + 3D) / 120 = 5D / 120 = D / 24
Total distance covered = Distance + Distance = 2D
Average Speed = Total Distance / Total Time = 2D / (D / 24) = 48 km/h
Therefore, the average speed of the man is 48 km/h.
Hence, the correct answer is option A) 48 km/h.
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Man covers a certain distance by driving car at the speed of 60 kmph and return back to the starting point at the speed of 40kmph find its average speed?a)48kmph b)51kmphc)50 d)42Correct answer is option 'A'. Can you explain this answer?
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