A boy is running at a speed of p km/h to cover a distance of 1 km. But due to slippery ground his speed is reduced by q km/h. If he takes r hours to cover the distance, then which of the following equations is true?

$\frac{1}{r}=p-q$

Actual speed of the boy = Running speed - Reduced speed

= p km/h - q km/h

= ( p - q ) km/h

Distance = Speed × Time

Distance = 1 km

Time taken = r hours

Time = \(\frac{ 1 }{ p - q }\)

r = \(\frac{ 1 }{ p - q }\)

 ( p - q ) = \(\frac{ 1 }{ r }\)

The correct answer is Option (1) → $\frac{1}{r}=p-q$