A boy wants to run 1 km at a speed of p km/hr. Due to slippery ground, his speed is reduced by q km/hr. He takes r hours to complete the distance.
The actual speed of the boy is:
Actual speed =p−q km/hr
Using the distance-speed-time relationship:
Distance = Speed × Time
Substituting the given values:
1=(p−q)×r
Rearranging the equation:
1=r(p−q)
Dividing both sides by r:
r1=p−q
Therefore, the relationship between p, q, and r is r1=p−q.