A circular cycling track is 900 meters in length. Two cyclists, P and Q, start from the same point at 7:00 a.m. and ride in opposite directions. Cyclist P rides at 18 km/h and cyclist Q rides at 24 km/h. At what time will they meet for the sixth time?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 7 : 07AM.
Relative speed = 18 + 24 = 42 km/h
Time to meet first = Track length / Relative speed
Time to meet first = 0.9 / 42 hours
= 3/140 hours
Time for nth meeting = n × (Time to meet first)
Time for 6th meeting = 6 × (3/140) × 60 min
= 7.71 min
Start time = 7:00 a.m.
6th Meeting time = 7 : 07 a.m.