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If a train travels at 60 km/hr from Bangalore to Hyderabad and at 80 km/hr on return trip from Hyderabad to Bangalore. What is its average speed for the entire trip?
- a)70 km/hr
- b)65.5 km/hr
- c)68.5 km/hr
- d)75 km/hr
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
If a train travels at 60 km/hr from Bangalore to Hyderabad and at 80 ...
To find the average speed for the entire trip, we can use the formula:
Average speed = Total distance / Total time
To calculate the total distance, we need to consider the distance from Bangalore to Hyderabad and the distance from Hyderabad to Bangalore. Since the distance is the same for both directions, we can take the distance from one side and multiply it by 2.
Let's assume the distance between Bangalore and Hyderabad is D km.
Total distance = D km + D km = 2D km
To calculate the total time, we need to consider the time taken for the journey from Bangalore to Hyderabad and the time taken for the journey from Hyderabad to Bangalore.
Time taken from Bangalore to Hyderabad = Distance / Speed = D km / 60 km/hr = D/60 hr
Time taken from Hyderabad to Bangalore = Distance / Speed = D km / 80 km/hr = D/80 hr
Total time = D/60 hr + D/80 hr = (4D + 3D) / 240 hr = 7D / 240 hr
Now, we can substitute the values in the formula for average speed:
Average speed = (2D km) / (7D / 240 hr)
Simplifying the expression:
Average speed = (2D km) * (240 hr / 7D) = 4800 / 7 km/hr ≈ 685.7 km/hr
Therefore, the average speed for the entire trip is approximately 68.5 km/hr.
So, option (c) is the correct answer.
Average speed = Total distance / Total time
To calculate the total distance, we need to consider the distance from Bangalore to Hyderabad and the distance from Hyderabad to Bangalore. Since the distance is the same for both directions, we can take the distance from one side and multiply it by 2.
Let's assume the distance between Bangalore and Hyderabad is D km.
Total distance = D km + D km = 2D km
To calculate the total time, we need to consider the time taken for the journey from Bangalore to Hyderabad and the time taken for the journey from Hyderabad to Bangalore.
Time taken from Bangalore to Hyderabad = Distance / Speed = D km / 60 km/hr = D/60 hr
Time taken from Hyderabad to Bangalore = Distance / Speed = D km / 80 km/hr = D/80 hr
Total time = D/60 hr + D/80 hr = (4D + 3D) / 240 hr = 7D / 240 hr
Now, we can substitute the values in the formula for average speed:
Average speed = (2D km) / (7D / 240 hr)
Simplifying the expression:
Average speed = (2D km) * (240 hr / 7D) = 4800 / 7 km/hr ≈ 685.7 km/hr
Therefore, the average speed for the entire trip is approximately 68.5 km/hr.
So, option (c) is the correct answer.
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If a train travels at 60 km/hr from Bangalore to Hyderabad and at 80 ...
70km/hr is right answer
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If a train travels at 60 km/hr from Bangalore to Hyderabad and at 80 km/hr on return trip from Hyderabad to Bangalore. What is its average speed for the entire trip?a) 70 km/hrb) 65.5 km/hrc) 68.5 km/hrd) 75 km/hrCorrect answer is option 'C'. Can you explain this answer?
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If a train travels at 60 km/hr from Bangalore to Hyderabad and at 80 km/hr on return trip from Hyderabad to Bangalore. What is its average speed for the entire trip?a) 70 km/hrb) 65.5 km/hrc) 68.5 km/hrd) 75 km/hrCorrect answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If a train travels at 60 km/hr from Bangalore to Hyderabad and at 80 km/hr on return trip from Hyderabad to Bangalore. What is its average speed for the entire trip?a) 70 km/hrb) 65.5 km/hrc) 68.5 km/hrd) 75 km/hrCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a train travels at 60 km/hr from Bangalore to Hyderabad and at 80 km/hr on return trip from Hyderabad to Bangalore. What is its average speed for the entire trip?a) 70 km/hrb) 65.5 km/hrc) 68.5 km/hrd) 75 km/hrCorrect answer is option 'C'. Can you explain this answer?.
If a train travels at 60 km/hr from Bangalore to Hyderabad and at 80 km/hr on return trip from Hyderabad to Bangalore. What is its average speed for the entire trip?a) 70 km/hrb) 65.5 km/hrc) 68.5 km/hrd) 75 km/hrCorrect answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If a train travels at 60 km/hr from Bangalore to Hyderabad and at 80 km/hr on return trip from Hyderabad to Bangalore. What is its average speed for the entire trip?a) 70 km/hrb) 65.5 km/hrc) 68.5 km/hrd) 75 km/hrCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a train travels at 60 km/hr from Bangalore to Hyderabad and at 80 km/hr on return trip from Hyderabad to Bangalore. What is its average speed for the entire trip?a) 70 km/hrb) 65.5 km/hrc) 68.5 km/hrd) 75 km/hrCorrect answer is option 'C'. Can you explain this answer?.
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