Quantitative Interview Question:

Perimeter of the back wheel = 9 feet, front wheel = 7 feet on a certain distance, the front wheel gets 10 revolutions more than the back wheel. What is the distance?

Submitted by: Administrator

315 feet..

since front wheel takes 10 more revolutions so it travels 70 feet in those extra number of revolutions.
But distance travelled by front wheel is less by 2 feet as compared to rear wheel for each revolution. So this loss of 2 feet is covered by those extra revolutions taken by the front wheel.
So a deficit of 70 feet would have been created by 70/2=35 revolutions.
So rear wheel travels 35 revolution (and front wheel takes 35+10=45 Revs.) So distance is 35*9 (or 45*7) = 315 feet
Submitted by: Administrator