The perimeter of a font wheel and rear wheel of an engine are 14dcm, and 35dcm. respectively. Find the minimum distance the engine can cover before both wheels take complete revolutions together.
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Given diameter of front wheels(2r)=80cm⇒r=40cm
diameter of rear wheels(2r)=2m⇒r=1m=100cm
In one revolution area covered is =2πr
∴ Distance covered by front wheel in 1400 revolutions =1400×2π(40)
Let us assume that to cover same distance rear wheel will take x revolutions=x×2π(100)
As both wheel will cover same distance ∴1400×2π(40)=x×2π(100)
x=
100
1400×40
=560
That means rear wheel will make 560 revolutions to cover the required distance.
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