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A car covers the first half of the distance between two places at the speed of 40 km per hour and the second half at 60 km per hour. what is the average speed of the car?
Most Upvoted Answer
A car covers the first half of the distance between two places at the ...
Problem: A car covers the first half of the distance between two places at the speed of 40 km per hour and the second half at 60 km per hour. What is the average speed of the car?
Solution:
To solve the problem, we can use the formula:
Average Speed = Total Distance / Total Time
Let's assume that the total distance between the two places is D km. Therefore, the distance covered in the first half is D/2 km and the distance covered in the second half is also D/2 km.
We can find the total time taken by the car to cover the distance using the formula:
Total Time = Time taken for first half + Time taken for second half
Time taken for first half = Distance / Speed = (D/2) / 40 = D/80 hours
Time taken for second half = Distance / Speed = (D/2) / 60 = D/120 hours
Therefore, the total time taken by the car is:
Total Time = D/80 + D/120 = (3D + 2D) / 240 = 5D / 240 hours
Now, we can find the average speed of the car using the formula:
Average Speed = Total Distance / Total Time = D / (5D/240) = 48 km per hour
Therefore, the average speed of the car is 48 km per hour.
Conclusion:
The average speed of the car is 48 km per hour.
Solution:
To solve the problem, we can use the formula:
Average Speed = Total Distance / Total Time
Let's assume that the total distance between the two places is D km. Therefore, the distance covered in the first half is D/2 km and the distance covered in the second half is also D/2 km.
We can find the total time taken by the car to cover the distance using the formula:
Total Time = Time taken for first half + Time taken for second half
Time taken for first half = Distance / Speed = (D/2) / 40 = D/80 hours
Time taken for second half = Distance / Speed = (D/2) / 60 = D/120 hours
Therefore, the total time taken by the car is:
Total Time = D/80 + D/120 = (3D + 2D) / 240 = 5D / 240 hours
Now, we can find the average speed of the car using the formula:
Average Speed = Total Distance / Total Time = D / (5D/240) = 48 km per hour
Therefore, the average speed of the car is 48 km per hour.
Conclusion:
The average speed of the car is 48 km per hour.
Community Answer
A car covers the first half of the distance between two places at the ...
Time taken in travelling the first distance x will be t1 =
x/40 and time taken in travelling the second distance x
will be t2 = x/60
Now the average velocity can be calculated as
V = total distance/total time
2x/t1+t2 = 2x/x/40 +x/60
= 48km/hr
x/40 and time taken in travelling the second distance x
will be t2 = x/60
Now the average velocity can be calculated as
V = total distance/total time
2x/t1+t2 = 2x/x/40 +x/60
= 48km/hr
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A car covers the first half of the distance between two places at the speed of 40 km per hour and the second half at 60 km per hour. what is the average speed of the car?
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A car covers the first half of the distance between two places at the speed of 40 km per hour and the second half at 60 km per hour. what is the average speed of the car? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A car covers the first half of the distance between two places at the speed of 40 km per hour and the second half at 60 km per hour. what is the average speed of the car? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car covers the first half of the distance between two places at the speed of 40 km per hour and the second half at 60 km per hour. what is the average speed of the car?.
A car covers the first half of the distance between two places at the speed of 40 km per hour and the second half at 60 km per hour. what is the average speed of the car? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A car covers the first half of the distance between two places at the speed of 40 km per hour and the second half at 60 km per hour. what is the average speed of the car? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car covers the first half of the distance between two places at the speed of 40 km per hour and the second half at 60 km per hour. what is the average speed of the car?.
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