A and B travel from X to Y at speeds of 45 km/hr and 60 km/hr respectively. If B takes 40 minutes less than A, what is the distance between X and Y?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 120 km
Both cover the same distance, so the difference of their times is 40 minutes, that is \(\frac{2}{3}\) hour.
Let the distance be \(d\) km: \(\displaystyle \frac{d}{45}-\frac{d}{60}=\frac{2}{3}\)
\(\displaystyle d\times\frac{4-3}{180}=\frac{2}{3}\), so \(\displaystyle \frac{d}{180}=\frac{2}{3}\)
\(d=120\) km
The distance between X and Y is 120 km.