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CBSE Class 10 Answered

the forewheel of tractor makes 120 revolution more than the rear wheel in going 720m. if the diameter of the forewheel is doubled and the diameter of the rear wheel in increased by half times the present diameter then the forewheel makes 20 revolution more than the rear wheel in going the same distance find the circumference of each wheel
Asked by patil.gopi400 | 01 Jun, 2020, 10:18: PM
Expert Answer
Let the front wheel diameter = d1
Rear wheel diameter = d2
By the given conditions
begin mathsize 18px style πd subscript 1 equals πd subscript 2 plus 120...... left parenthesis 1 right parenthesis
πd subscript 1 cross times 2 equals πd subscript 2 cross times 1.5 plus 20...... left parenthesis 2 right parenthesis end style
Solving (1) and (2) simultaneously, we get d1 and d2
d1 = -320/pi  and  d2 = 440/pi
d1 = -1120/11  and  d2 = -140
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