The diameter of rear wheel of a tractor is 1.5 m for covering some distance the rear wheel completes 80 revolutions and at the same time front wheel completes 240 revolutions. Find the diameter of front wheel.
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Correct option is A)
We have Diameter of the rear wheel D =1.5 m Distance covered in one revolution = circumference of the wheel = πD=1.5πm Now, Distance covered in 80 revolution =80×1.5π=120πm Let d be the diameter of the front wheel. Now, Distance covered in one revolution by front wheel =πd m Now, Distance covered in 240 revolution by front wheel =240πd m Distance covered by front wheel in 240 revolution = Distance covered by rear wheel in 80 revolution =>240πd=120π =>d=21 m =>d=0.5 m