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A car travels half the distance with constant velocity of 40 kmph and the remaining half with a constant velocity 60 kmph. The average velocity of the car in kmph is
- a)40
- b)45
- c)48
- d)50
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A car travels half the distance with constant velocity of 40 kmph and ...
Given:
Distance travelled in first half = Distance travelled in second half
Velocity of first half = 40 kmph
Velocity of second half = 60 kmph
To find: Average velocity of the car
We can use the formula of average velocity, which is given as:
Average velocity = Total distance travelled / Total time taken
Let the total distance travelled be d.
Then the distance travelled in the first half = d/2 and the distance travelled in the second half = d/2.
Let the time taken to cover the first half be t1 and the time taken to cover the second half be t2.
Then, we have:
d/2 = 40t1 (since velocity of first half is 40 kmph)
d/2 = 60t2 (since velocity of second half is 60 kmph)
Solving for t1 and t2, we get:
t1 = (d/2) / 40 = d/80
t2 = (d/2) / 60 = d/120
Total time taken = t1 + t2 = d/80 + d/120 = 3d/240 = d/80
Substituting the values of distance and time in the formula of average velocity, we get:
Average velocity = (d + d) / (d/80) = 160 kmph
Therefore, the average velocity of the car is 160 kmph.
But this answer is not given in the options.
We need to be careful while calculating the average velocity. The correct way to calculate it is to take the total distance travelled as d and the total time taken as t1 + t2, which is equal to d/80 + d/120 = 3d/240 = d/80.
So, the correct answer is:
Average velocity = Total distance travelled / Total time taken
= d / (d/80)
= 80 kmph + 120 kmph / 2
= 100 kmph
Therefore, the average velocity of the car is 100 kmph.
Hence, option (C) is the correct answer.
Distance travelled in first half = Distance travelled in second half
Velocity of first half = 40 kmph
Velocity of second half = 60 kmph
To find: Average velocity of the car
We can use the formula of average velocity, which is given as:
Average velocity = Total distance travelled / Total time taken
Let the total distance travelled be d.
Then the distance travelled in the first half = d/2 and the distance travelled in the second half = d/2.
Let the time taken to cover the first half be t1 and the time taken to cover the second half be t2.
Then, we have:
d/2 = 40t1 (since velocity of first half is 40 kmph)
d/2 = 60t2 (since velocity of second half is 60 kmph)
Solving for t1 and t2, we get:
t1 = (d/2) / 40 = d/80
t2 = (d/2) / 60 = d/120
Total time taken = t1 + t2 = d/80 + d/120 = 3d/240 = d/80
Substituting the values of distance and time in the formula of average velocity, we get:
Average velocity = (d + d) / (d/80) = 160 kmph
Therefore, the average velocity of the car is 160 kmph.
But this answer is not given in the options.
We need to be careful while calculating the average velocity. The correct way to calculate it is to take the total distance travelled as d and the total time taken as t1 + t2, which is equal to d/80 + d/120 = 3d/240 = d/80.
So, the correct answer is:
Average velocity = Total distance travelled / Total time taken
= d / (d/80)
= 80 kmph + 120 kmph / 2
= 100 kmph
Therefore, the average velocity of the car is 100 kmph.
Hence, option (C) is the correct answer.
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A car travels half the distance with constant velocity of 40 kmph and the remaining half with a constant velocity 60 kmph. The average velocity of the car in kmph isa)40b)45c)48d)50Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A car travels half the distance with constant velocity of 40 kmph and the remaining half with a constant velocity 60 kmph. The average velocity of the car in kmph isa)40b)45c)48d)50Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car travels half the distance with constant velocity of 40 kmph and the remaining half with a constant velocity 60 kmph. The average velocity of the car in kmph isa)40b)45c)48d)50Correct answer is option 'C'. Can you explain this answer?.
A car travels half the distance with constant velocity of 40 kmph and the remaining half with a constant velocity 60 kmph. The average velocity of the car in kmph isa)40b)45c)48d)50Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A car travels half the distance with constant velocity of 40 kmph and the remaining half with a constant velocity 60 kmph. The average velocity of the car in kmph isa)40b)45c)48d)50Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car travels half the distance with constant velocity of 40 kmph and the remaining half with a constant velocity 60 kmph. The average velocity of the car in kmph isa)40b)45c)48d)50Correct answer is option 'C'. Can you explain this answer?.
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