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?
Answer & explanation
Correct answer: option 1
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) → $\frac{1}{r}=p-q$