A boy runs at a speed of $$ p $$ kmph to cover a distance of 1 km. However, due to a slippery surface, his speed decreases by $$ q $$ kmph ($$ p q $$). If he takes $$ r $$ hours to cover the distance, find the relationship between $$ p $$, $$ q $$, and $$ r $$.

Question

A boy runs at a speed of $$ p $$ kmph to cover a distance of 1 km. However, due to a slippery surface, his speed decreases by $$ q $$ kmph ($$ p > q $$). If he takes $$ r $$ hours to cover the distance, find the relationship between $$ p $$, $$ q $$, and $$ r $$.

Accepted Answer

The relationship between speed, distance, and time is given by the formula:  
$$
	ext{Speed} = \frac{	ext{Distance}}{	ext{Time}}
$$

Here, the boy's effective speed is reduced to $$ (p - q) $$ kmph due to the slippery ground. The distance to be covered is 1 km, and the time taken is $$ r $$ hours. Substituting these values into the formula:  
$$
p - q = \frac{1}{r}
$$

Rearranging this equation gives:  
$$
\frac{1}{r} = p - q
$$

Thus, the correct relationship is **$$ 1/r = p - q $$**.

Answer

Answer

Answer