Two boys A and B start at the same time to ride from Delhi to Meerut, 60 km away. A travels 4 km an hour slower than B. B reaches Meerut and at once turns back and meets A at 12 km from Meerut. Find A's speed
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 8 km/hr
The two boys ride for the same time until they meet, so the distances they cover are in the ratio of their speeds.
Distances up to the meeting point (12 km short of Meerut):
A has covered \(60-12=48\) km
B has gone the full 60 km and come back 12 km: \(60+12=72\) km
Speeds (B is 4 km/hr faster):
A : B \(=48:72=2:3\), so the speeds are \(2k\) and \(3k\)
\(3k-2k=4\), so \(k=4\)
A’s speed \(=2k=\) 8 km/hr