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Question

An engine approaches a hill with a constant speed. When it is at a distance of 0.9 blank k m it blows a whistle, whose echo is heard by the driver after 5 blank s e c.If speed of sound in air is 330 blank m divided by s comma the speed of engine is

  1. 10 blank m divided by s    
  2. 20 blank m divided by s    
  3. 30 blank m divided by s    
  4. 40 blank m divided by s    

The correct answer is: 30 blank m divided by s


    If the speed of engine is v comma the distance traveled by engine in 5 blank s e c will be 5 v comma and hence the distance traveled by sound in reaching the hill and coming back to the moving driverblank equals 900 plus open parentheses 900 minus 5 v close parentheses equals 1800 minus 5 v
    So the time interval between original sound and it’s echo
    t equals fraction numerator left parenthesis 1800 minus 5 v right parenthesis over denominator 330 end fraction equals 5 rightwards double arrow v equals 30 blank m divided by s

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