Problem Link:
Author: tseccodecell
DIFFICULTY:
Cakewalk
PREREQUISITES:
Simple arithmetic operations
PROBLEM:
Given circumference of two wheels X and Y, and the difference is distance travelled by them D for the same number of revolutions, find the number of revolutions.
QUICK EXPLANATION:
Use the formula R=(D / abs(X-Y)) where abs is absolute value or modulus.
EXPLANATION:
Let distance travelled by wheel A and B be D1 and D2 respectively. Then D1=XR and D2=YR.
But we know that positive difference of D1 and D2 is D.
Therefore,
D=abs(D1-D2)
D=abs(X*R-Y*R)
D=R*abs(X-Y)
R=D/abs(X-Y)