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Pranav went to the bank at the speed of 60 kmph while returning for his home he covered the half of the distance at the speed of 10 kmph, but suddenly he realized that he was getting late so he increased the speed and reached the home by covering rest half of the distance at the speed of 30 kmph.The average speed of the Pranav in the whole length of journey is?
- a)24 kmph
- b)14 kmph
- c)16 kmph
- d)10 kmph
- e)28 kmph
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Pranav went to the bank at the speed of 60 kmph while returning for hi...
Answer – A. 24 kmph Explanation: Distance between home and Bank – x km Total distance = x + x = 2x Total time taken = x/60 + (x/2)/10 + (x/2)/30 = x/12 Average speed = 2x/(x/12) = 24 kmph
Most Upvoted Answer
Pranav went to the bank at the speed of 60 kmph while returning for hi...
Solution:
Let the distance from Pranav's home to the bank be 'd' km.
Let the time taken by Pranav to reach the bank be 't1' hours.
Then, according to the given information,
d/60 = t1 (since speed = distance/time)
=> t1 = d/60
Let the time taken by Pranav to cover the first half of the distance on returning be 't2' hours.
Then, according to the given information,
d/2 /10 = t2 (since speed = distance/time)
=> t2 = d/20
Let the time taken by Pranav to cover the second half of the distance on returning be 't3' hours.
Then, according to the given information,
d/2 /30 = t3 (since speed = distance/time)
=> t3 = d/60
Total time taken by Pranav = t1 + t2 + t3
= d/60 + d/20 + d/60
= d/30
Total distance traveled by Pranav = d + d/2 = 3d/2
Average speed of Pranav = Total distance traveled/Total time taken
= (3d/2)/(d/30)
= 45 kmph
Therefore, the average speed of Pranav in the whole length of journey is 24 kmph (Option A).
Let the distance from Pranav's home to the bank be 'd' km.
Let the time taken by Pranav to reach the bank be 't1' hours.
Then, according to the given information,
d/60 = t1 (since speed = distance/time)
=> t1 = d/60
Let the time taken by Pranav to cover the first half of the distance on returning be 't2' hours.
Then, according to the given information,
d/2 /10 = t2 (since speed = distance/time)
=> t2 = d/20
Let the time taken by Pranav to cover the second half of the distance on returning be 't3' hours.
Then, according to the given information,
d/2 /30 = t3 (since speed = distance/time)
=> t3 = d/60
Total time taken by Pranav = t1 + t2 + t3
= d/60 + d/20 + d/60
= d/30
Total distance traveled by Pranav = d + d/2 = 3d/2
Average speed of Pranav = Total distance traveled/Total time taken
= (3d/2)/(d/30)
= 45 kmph
Therefore, the average speed of Pranav in the whole length of journey is 24 kmph (Option A).
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Pranav went to the bank at the speed of 60 kmph while returning for his home he covered the half of the distance at the speed of 10 kmph, but suddenly he realized that he was getting late so he increased the speed and reached the home by covering rest half of the distance at the speed of 30 kmph.The average speed of the Pranav in the whole length of journey is?a)24 kmphb)14 kmphc)16 kmphd)10 kmphe)28 kmphCorrect answer is option 'A'. Can you explain this answer?
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Pranav went to the bank at the speed of 60 kmph while returning for his home he covered the half of the distance at the speed of 10 kmph, but suddenly he realized that he was getting late so he increased the speed and reached the home by covering rest half of the distance at the speed of 30 kmph.The average speed of the Pranav in the whole length of journey is?a)24 kmphb)14 kmphc)16 kmphd)10 kmphe)28 kmphCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Pranav went to the bank at the speed of 60 kmph while returning for his home he covered the half of the distance at the speed of 10 kmph, but suddenly he realized that he was getting late so he increased the speed and reached the home by covering rest half of the distance at the speed of 30 kmph.The average speed of the Pranav in the whole length of journey is?a)24 kmphb)14 kmphc)16 kmphd)10 kmphe)28 kmphCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pranav went to the bank at the speed of 60 kmph while returning for his home he covered the half of the distance at the speed of 10 kmph, but suddenly he realized that he was getting late so he increased the speed and reached the home by covering rest half of the distance at the speed of 30 kmph.The average speed of the Pranav in the whole length of journey is?a)24 kmphb)14 kmphc)16 kmphd)10 kmphe)28 kmphCorrect answer is option 'A'. Can you explain this answer?.
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