Ravi and Sunil start at the same time to travel from town M to town N, which are 120 km apart. Ravi travels 6 km/hr slower than Sunil. Sunil reaches N, turns back at once and meets Ravi 24 km from N. What is Sunil’s speed (in km/hr)?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 18
Until they meet, both travel for the same time, so the distances they cover are in the ratio of their speeds.
Sunil covers \(120+24=144\) km (to N and 24 km back)
Ravi covers \(120-24=96\) km
Let Sunil’s speed be \(s\) km/hr; Ravi’s speed is \(s-6\)
Equal times: \(\displaystyle \frac{144}{s}=\frac{96}{s-6}\)
\(144s-864=96s\), so \(48s=864\) and \(s=18\) km/hr