a car moves from a to b with a speed of 30 kmph and from b to a with a speed of 20 kmph . what is the average speed of the car?
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Class 11
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>>Motion in a Straight Line
>>Speed and Velocity
>>A car moves from A to B with a speed of
Question

A car moves from A to B with a speed of 30kmph and from B to A with a speed of 20kmph. What is the average speed of the car?
A
25kmph
B
24kmph
C
50kmph
D
10kmph
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Solution

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Correct option is B)
The average speed of any moving body is total distance traveled by the body divided by the total time taken to cover that distance.
Let the distance between A to B be x.
Journey from A to B :
Time taken t1=SpeedDistance=30x h
Journey from B to A :
Time taken t2=SpeedDistance=20x h
Total distance covered in whole journey S′=2x
Total time taken t′=t1+t2
Average speed vavg=t′S′
∴ v
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